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Finding the Third Proportional to 81,258 and 129,758

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Solution

The third proportional to 81,258 and 129,758 is: 207,205.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,258 : 129,758 = 129,758 : x
  2. Step 2: Convert to fraction form
    81,258/129,758 = 129,758/x
  3. Step 3: Cross multiply
    81,258x = 129,758 × 129,758
  4. Step 4: Simplify right side
    81,258x = 16,837,138,564
  5. Step 5: Solve for x
    x = 16,837,138,564/81,258
  6. Step 6: Final answer
    x = 207,205.92

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.