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Finding the Third Proportional to 273,611,468,480.25 and 588,400,522,102.50

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Solution

The third proportional to 273,611,468,480.25 and 588,400,522,102.50 is: 1,265,353,299,456.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,611,468,480.25 : 588,400,522,102.50 = 588,400,522,102.50 : x
  2. Step 2: Convert to fraction form
    273,611,468,480.25/588,400,522,102.50 = 588,400,522,102.50/x
  3. Step 3: Cross multiply
    273,611,468,480.25x = 588,400,522,102.50 × 588,400,522,102.50
  4. Step 4: Simplify right side
    273,611,468,480.25x = 346,215,174,410,494,583,767,040
  5. Step 5: Solve for x
    x = 346,215,174,410,494,583,767,040/273,611,468,480.25
  6. Step 6: Final answer
    x = 1,265,353,299,456.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.