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Finding the Third Proportional to 129,732 and 281,610

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Solution

The third proportional to 129,732 and 281,610 is: 611,292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,732 : 281,610 = 281,610 : x
  2. Step 2: Convert to fraction form
    129,732/281,610 = 281,610/x
  3. Step 3: Cross multiply
    129,732x = 281,610 × 281,610
  4. Step 4: Simplify right side
    129,732x = 79,304,192,100
  5. Step 5: Solve for x
    x = 79,304,192,100/129,732
  6. Step 6: Final answer
    x = 611,292.45

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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.