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Finding the Third Proportional to 138,626 and 223,251

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Solution

The third proportional to 138,626 and 223,251 is: 359,535.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,626 : 223,251 = 223,251 : x
  2. Step 2: Convert to fraction form
    138,626/223,251 = 223,251/x
  3. Step 3: Cross multiply
    138,626x = 223,251 × 223,251
  4. Step 4: Simplify right side
    138,626x = 49,841,009,001
  5. Step 5: Solve for x
    x = 49,841,009,001/138,626
  6. Step 6: Final answer
    x = 359,535.79

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.