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Finding the Third Proportional to 59,351 and 129,070

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Solution

The third proportional to 59,351 and 129,070 is: 280,687.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,351 : 129,070 = 129,070 : x
  2. Step 2: Convert to fraction form
    59,351/129,070 = 129,070/x
  3. Step 3: Cross multiply
    59,351x = 129,070 × 129,070
  4. Step 4: Simplify right side
    59,351x = 16,659,064,900
  5. Step 5: Solve for x
    x = 16,659,064,900/59,351
  6. Step 6: Final answer
    x = 280,687.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.