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Finding the Third Proportional to 102,959 and 132,081

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Solution

The third proportional to 102,959 and 132,081 is: 169,440.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,959 : 132,081 = 132,081 : x
  2. Step 2: Convert to fraction form
    102,959/132,081 = 132,081/x
  3. Step 3: Cross multiply
    102,959x = 132,081 × 132,081
  4. Step 4: Simplify right side
    102,959x = 17,445,390,561
  5. Step 5: Solve for x
    x = 17,445,390,561/102,959
  6. Step 6: Final answer
    x = 169,440.17

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.