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Finding the Third Proportional to 273,611,468,479.50 and 588,400,522,101

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Solution

The third proportional to 273,611,468,479.50 and 588,400,522,101 is: 1,265,353,299,453.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,611,468,479.50 : 588,400,522,101 = 588,400,522,101 : x
  2. Step 2: Convert to fraction form
    273,611,468,479.50/588,400,522,101 = 588,400,522,101/x
  3. Step 3: Cross multiply
    273,611,468,479.50x = 588,400,522,101 × 588,400,522,101
  4. Step 4: Simplify right side
    273,611,468,479.50x = 346,215,174,408,729,419,317,248
  5. Step 5: Solve for x
    x = 346,215,174,408,729,419,317,248/273,611,468,479.50
  6. Step 6: Final answer
    x = 1,265,353,299,453.05

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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.