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Finding the Third Proportional to 129,384 and 278,451

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Solution

The third proportional to 129,384 and 278,451 is: 599,262.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,384 : 278,451 = 278,451 : x
  2. Step 2: Convert to fraction form
    129,384/278,451 = 278,451/x
  3. Step 3: Cross multiply
    129,384x = 278,451 × 278,451
  4. Step 4: Simplify right side
    129,384x = 77,534,959,401
  5. Step 5: Solve for x
    x = 77,534,959,401/129,384
  6. Step 6: Final answer
    x = 599,262.35

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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.