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Finding the Third Proportional to 129,908 and 280,540

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Solution

The third proportional to 129,908 and 280,540 is: 605,834.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,908 : 280,540 = 280,540 : x
  2. Step 2: Convert to fraction form
    129,908/280,540 = 280,540/x
  3. Step 3: Cross multiply
    129,908x = 280,540 × 280,540
  4. Step 4: Simplify right side
    129,908x = 78,702,691,600
  5. Step 5: Solve for x
    x = 78,702,691,600/129,908
  6. Step 6: Final answer
    x = 605,834.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.