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Finding the Third Proportional to 129,081.38 and 281,128.13

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Solution

The third proportional to 129,081.38 and 281,128.13 is: 612,272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,081.38 : 281,128.13 = 281,128.13 : x
  2. Step 2: Convert to fraction form
    129,081.38/281,128.13 = 281,128.13/x
  3. Step 3: Cross multiply
    129,081.38x = 281,128.13 × 281,128.13
  4. Step 4: Simplify right side
    129,081.38x = 79,033,022,666.02
  5. Step 5: Solve for x
    x = 79,033,022,666.02/129,081.38
  6. Step 6: Final answer
    x = 612,272.86

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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.