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Finding the Third Proportional to 129,488 and 281,764

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Solution

The third proportional to 129,488 and 281,764 is: 613,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,488 : 281,764 = 281,764 : x
  2. Step 2: Convert to fraction form
    129,488/281,764 = 281,764/x
  3. Step 3: Cross multiply
    129,488x = 281,764 × 281,764
  4. Step 4: Simplify right side
    129,488x = 79,390,951,696
  5. Step 5: Solve for x
    x = 79,390,951,696/129,488
  6. Step 6: Final answer
    x = 613,114.36

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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.