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Finding the Third Proportional to 131,132.25 and 281,377.13

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Solution

The third proportional to 131,132.25 and 281,377.13 is: 603,765.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,132.25 : 281,377.13 = 281,377.13 : x
  2. Step 2: Convert to fraction form
    131,132.25/281,377.13 = 281,377.13/x
  3. Step 3: Cross multiply
    131,132.25x = 281,377.13 × 281,377.13
  4. Step 4: Simplify right side
    131,132.25x = 79,173,086,473.27
  5. Step 5: Solve for x
    x = 79,173,086,473.27/131,132.25
  6. Step 6: Final answer
    x = 603,765.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.