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Finding the Third Proportional to 129,074 and 279,600

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Solution

The third proportional to 129,074 and 279,600 is: 605,669.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,074 : 279,600 = 279,600 : x
  2. Step 2: Convert to fraction form
    129,074/279,600 = 279,600/x
  3. Step 3: Cross multiply
    129,074x = 279,600 × 279,600
  4. Step 4: Simplify right side
    129,074x = 78,176,160,000
  5. Step 5: Solve for x
    x = 78,176,160,000/129,074
  6. Step 6: Final answer
    x = 605,669.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.