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Finding the Third Proportional to 85,459 and 132,669

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Solution

The third proportional to 85,459 and 132,669 is: 205,959.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,459 : 132,669 = 132,669 : x
  2. Step 2: Convert to fraction form
    85,459/132,669 = 132,669/x
  3. Step 3: Cross multiply
    85,459x = 132,669 × 132,669
  4. Step 4: Simplify right side
    85,459x = 17,601,063,561
  5. Step 5: Solve for x
    x = 17,601,063,561/85,459
  6. Step 6: Final answer
    x = 205,959.16

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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.