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Finding the Third Proportional to 138,038 and 213,747

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Solution

The third proportional to 138,038 and 213,747 is: 330,979.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,038 : 213,747 = 213,747 : x
  2. Step 2: Convert to fraction form
    138,038/213,747 = 213,747/x
  3. Step 3: Cross multiply
    138,038x = 213,747 × 213,747
  4. Step 4: Simplify right side
    138,038x = 45,687,780,009
  5. Step 5: Solve for x
    x = 45,687,780,009/138,038
  6. Step 6: Final answer
    x = 330,979.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.