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Finding the Third Proportional to 81,070 and 129,509

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Solution

The third proportional to 81,070 and 129,509 is: 206,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,070 : 129,509 = 129,509 : x
  2. Step 2: Convert to fraction form
    81,070/129,509 = 129,509/x
  3. Step 3: Cross multiply
    81,070x = 129,509 × 129,509
  4. Step 4: Simplify right side
    81,070x = 16,772,581,081
  5. Step 5: Solve for x
    x = 16,772,581,081/81,070
  6. Step 6: Final answer
    x = 206,890.11

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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.