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Finding the Third Proportional to 138,348 and 202,932

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Solution

The third proportional to 138,348 and 202,932 is: 297,665.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,348 : 202,932 = 202,932 : x
  2. Step 2: Convert to fraction form
    138,348/202,932 = 202,932/x
  3. Step 3: Cross multiply
    138,348x = 202,932 × 202,932
  4. Step 4: Simplify right side
    138,348x = 41,181,396,624
  5. Step 5: Solve for x
    x = 41,181,396,624/138,348
  6. Step 6: Final answer
    x = 297,665.28

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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.