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Finding the Third Proportional to 129,753 and 278,907

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Solution

The third proportional to 129,753 and 278,907 is: 599,516.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,753 : 278,907 = 278,907 : x
  2. Step 2: Convert to fraction form
    129,753/278,907 = 278,907/x
  3. Step 3: Cross multiply
    129,753x = 278,907 × 278,907
  4. Step 4: Simplify right side
    129,753x = 77,789,114,649
  5. Step 5: Solve for x
    x = 77,789,114,649/129,753
  6. Step 6: Final answer
    x = 599,516.89

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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.