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Finding the Third Proportional to 129,120.75 and 281,105.44

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Solution

The third proportional to 129,120.75 and 281,105.44 is: 611,987.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,120.75 : 281,105.44 = 281,105.44 : x
  2. Step 2: Convert to fraction form
    129,120.75/281,105.44 = 281,105.44/x
  3. Step 3: Cross multiply
    129,120.75x = 281,105.44 × 281,105.44
  4. Step 4: Simplify right side
    129,120.75x = 79,020,266,992.07
  5. Step 5: Solve for x
    x = 79,020,266,992.07/129,120.75
  6. Step 6: Final answer
    x = 611,987.36

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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.