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Finding the Third Proportional to 273,611,468,484 and 588,400,522,109

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Solution

The third proportional to 273,611,468,484 and 588,400,522,109 is: 1,265,353,299,466.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,611,468,484 : 588,400,522,109 = 588,400,522,109 : x
  2. Step 2: Convert to fraction form
    273,611,468,484/588,400,522,109 = 588,400,522,109/x
  3. Step 3: Cross multiply
    273,611,468,484x = 588,400,522,109 × 588,400,522,109
  4. Step 4: Simplify right side
    273,611,468,484x = 346,215,174,418,143,786,303,488
  5. Step 5: Solve for x
    x = 346,215,174,418,143,786,303,488/273,611,468,484
  6. Step 6: Final answer
    x = 1,265,353,299,466.65

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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.