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Finding the Third Proportional to 129,743 and 279,484

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Solution

The third proportional to 129,743 and 279,484 is: 602,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,743 : 279,484 = 279,484 : x
  2. Step 2: Convert to fraction form
    129,743/279,484 = 279,484/x
  3. Step 3: Cross multiply
    129,743x = 279,484 × 279,484
  4. Step 4: Simplify right side
    129,743x = 78,111,306,256
  5. Step 5: Solve for x
    x = 78,111,306,256/129,743
  6. Step 6: Final answer
    x = 602,046.40

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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.