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Finding the Third Proportional to 66,892 and 91,727

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Solution

The third proportional to 66,892 and 91,727 is: 125,782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,892 : 91,727 = 91,727 : x
  2. Step 2: Convert to fraction form
    66,892/91,727 = 91,727/x
  3. Step 3: Cross multiply
    66,892x = 91,727 × 91,727
  4. Step 4: Simplify right side
    66,892x = 8,413,842,529
  5. Step 5: Solve for x
    x = 8,413,842,529/66,892
  6. Step 6: Final answer
    x = 125,782.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.