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Finding the Third Proportional to 129,114 and 281,588

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Solution

The third proportional to 129,114 and 281,588 is: 614,122.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,114 : 281,588 = 281,588 : x
  2. Step 2: Convert to fraction form
    129,114/281,588 = 281,588/x
  3. Step 3: Cross multiply
    129,114x = 281,588 × 281,588
  4. Step 4: Simplify right side
    129,114x = 79,291,801,744
  5. Step 5: Solve for x
    x = 79,291,801,744/129,114
  6. Step 6: Final answer
    x = 614,122.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.