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Finding the Third Proportional to 81,766 and 119,957

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Solution

The third proportional to 81,766 and 119,957 is: 175,986.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,766 : 119,957 = 119,957 : x
  2. Step 2: Convert to fraction form
    81,766/119,957 = 119,957/x
  3. Step 3: Cross multiply
    81,766x = 119,957 × 119,957
  4. Step 4: Simplify right side
    81,766x = 14,389,681,849
  5. Step 5: Solve for x
    x = 14,389,681,849/81,766
  6. Step 6: Final answer
    x = 175,986.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.