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Finding the Third Proportional to 138,007 and 202,467

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Solution

The third proportional to 138,007 and 202,467 is: 297,034.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,007 : 202,467 = 202,467 : x
  2. Step 2: Convert to fraction form
    138,007/202,467 = 202,467/x
  3. Step 3: Cross multiply
    138,007x = 202,467 × 202,467
  4. Step 4: Simplify right side
    138,007x = 40,992,886,089
  5. Step 5: Solve for x
    x = 40,992,886,089/138,007
  6. Step 6: Final answer
    x = 297,034.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.