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Finding the Third Proportional to 61,728 and 87,402

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Solution

The third proportional to 61,728 and 87,402 is: 123,754.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,728 : 87,402 = 87,402 : x
  2. Step 2: Convert to fraction form
    61,728/87,402 = 87,402/x
  3. Step 3: Cross multiply
    61,728x = 87,402 × 87,402
  4. Step 4: Simplify right side
    61,728x = 7,639,109,604
  5. Step 5: Solve for x
    x = 7,639,109,604/61,728
  6. Step 6: Final answer
    x = 123,754.37

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.