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Finding the Third Proportional to 129,786 and 278,967

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Solution

The third proportional to 129,786 and 278,967 is: 599,622.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,786 : 278,967 = 278,967 : x
  2. Step 2: Convert to fraction form
    129,786/278,967 = 278,967/x
  3. Step 3: Cross multiply
    129,786x = 278,967 × 278,967
  4. Step 4: Simplify right side
    129,786x = 77,822,587,089
  5. Step 5: Solve for x
    x = 77,822,587,089/129,786
  6. Step 6: Final answer
    x = 599,622.36

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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.