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Finding the Third Proportional to 138,292.31 and 281,659.78

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Solution

The third proportional to 138,292.31 and 281,659.78 is: 573,656.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,292.31 : 281,659.78 = 281,659.78 : x
  2. Step 2: Convert to fraction form
    138,292.31/281,659.78 = 281,659.78/x
  3. Step 3: Cross multiply
    138,292.31x = 281,659.78 × 281,659.78
  4. Step 4: Simplify right side
    138,292.31x = 79,332,232,373.80
  5. Step 5: Solve for x
    x = 79,332,232,373.80/138,292.31
  6. Step 6: Final answer
    x = 573,656.13

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.