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Finding the Third Proportional to 129,552 and 278,976

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Solution

The third proportional to 129,552 and 278,976 is: 600,744.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,552 : 278,976 = 278,976 : x
  2. Step 2: Convert to fraction form
    129,552/278,976 = 278,976/x
  3. Step 3: Cross multiply
    129,552x = 278,976 × 278,976
  4. Step 4: Simplify right side
    129,552x = 77,827,608,576
  5. Step 5: Solve for x
    x = 77,827,608,576/129,552
  6. Step 6: Final answer
    x = 600,744.17

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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.