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Finding the Third Proportional to 281,151 and 400,691.81

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Solution

The third proportional to 281,151 and 400,691.81 is: 571,059.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,151 : 400,691.81 = 400,691.81 : x
  2. Step 2: Convert to fraction form
    281,151/400,691.81 = 400,691.81/x
  3. Step 3: Cross multiply
    281,151x = 400,691.81 × 400,691.81
  4. Step 4: Simplify right side
    281,151x = 160,553,928,604.54
  5. Step 5: Solve for x
    x = 160,553,928,604.54/281,151
  6. Step 6: Final answer
    x = 571,059.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.