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Finding the Third Proportional to 62,487 and 135,639

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Solution

The third proportional to 62,487 and 135,639 is: 294,428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,487 : 135,639 = 135,639 : x
  2. Step 2: Convert to fraction form
    62,487/135,639 = 135,639/x
  3. Step 3: Cross multiply
    62,487x = 135,639 × 135,639
  4. Step 4: Simplify right side
    62,487x = 18,397,938,321
  5. Step 5: Solve for x
    x = 18,397,938,321/62,487
  6. Step 6: Final answer
    x = 294,428.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.