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Finding the Third Proportional to 85,534 and 132,764

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Solution

The third proportional to 85,534 and 132,764 is: 206,073.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,534 : 132,764 = 132,764 : x
  2. Step 2: Convert to fraction form
    85,534/132,764 = 132,764/x
  3. Step 3: Cross multiply
    85,534x = 132,764 × 132,764
  4. Step 4: Simplify right side
    85,534x = 17,626,279,696
  5. Step 5: Solve for x
    x = 17,626,279,696/85,534
  6. Step 6: Final answer
    x = 206,073.37

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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.