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Finding the Third Proportional to 129,769 and 281,569

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Solution

The third proportional to 129,769 and 281,569 is: 610,940.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,769 : 281,569 = 281,569 : x
  2. Step 2: Convert to fraction form
    129,769/281,569 = 281,569/x
  3. Step 3: Cross multiply
    129,769x = 281,569 × 281,569
  4. Step 4: Simplify right side
    129,769x = 79,281,101,761
  5. Step 5: Solve for x
    x = 79,281,101,761/129,769
  6. Step 6: Final answer
    x = 610,940.22

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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.