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Finding the Third Proportional to 85,471 and 132,687

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Solution

The third proportional to 85,471 and 132,687 is: 205,986.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,471 : 132,687 = 132,687 : x
  2. Step 2: Convert to fraction form
    85,471/132,687 = 132,687/x
  3. Step 3: Cross multiply
    85,471x = 132,687 × 132,687
  4. Step 4: Simplify right side
    85,471x = 17,605,839,969
  5. Step 5: Solve for x
    x = 17,605,839,969/85,471
  6. Step 6: Final answer
    x = 205,986.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.