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Finding the Third Proportional to 57,715 and 86,342

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Solution

The third proportional to 57,715 and 86,342 is: 129,168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,715 : 86,342 = 86,342 : x
  2. Step 2: Convert to fraction form
    57,715/86,342 = 86,342/x
  3. Step 3: Cross multiply
    57,715x = 86,342 × 86,342
  4. Step 4: Simplify right side
    57,715x = 7,454,940,964
  5. Step 5: Solve for x
    x = 7,454,940,964/57,715
  6. Step 6: Final answer
    x = 129,168.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.