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Finding the Third Proportional to 129,288 and 278,976

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Solution

The third proportional to 129,288 and 278,976 is: 601,970.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,288 : 278,976 = 278,976 : x
  2. Step 2: Convert to fraction form
    129,288/278,976 = 278,976/x
  3. Step 3: Cross multiply
    129,288x = 278,976 × 278,976
  4. Step 4: Simplify right side
    129,288x = 77,827,608,576
  5. Step 5: Solve for x
    x = 77,827,608,576/129,288
  6. Step 6: Final answer
    x = 601,970.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.