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Finding the Third Proportional to 138,741 and 299,079

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Solution

The third proportional to 138,741 and 299,079 is: 644,713.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,741 : 299,079 = 299,079 : x
  2. Step 2: Convert to fraction form
    138,741/299,079 = 299,079/x
  3. Step 3: Cross multiply
    138,741x = 299,079 × 299,079
  4. Step 4: Simplify right side
    138,741x = 89,448,248,241
  5. Step 5: Solve for x
    x = 89,448,248,241/138,741
  6. Step 6: Final answer
    x = 644,713.88

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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.