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Finding the Third Proportional to 129,720 and 279,672

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Solution

The third proportional to 129,720 and 279,672 is: 602,963.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,720 : 279,672 = 279,672 : x
  2. Step 2: Convert to fraction form
    129,720/279,672 = 279,672/x
  3. Step 3: Cross multiply
    129,720x = 279,672 × 279,672
  4. Step 4: Simplify right side
    129,720x = 78,216,427,584
  5. Step 5: Solve for x
    x = 78,216,427,584/129,720
  6. Step 6: Final answer
    x = 602,963.52

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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.