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Finding the Third Proportional to 138,262 and 323,767

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Solution

The third proportional to 138,262 and 323,767 is: 758,162.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,262 : 323,767 = 323,767 : x
  2. Step 2: Convert to fraction form
    138,262/323,767 = 323,767/x
  3. Step 3: Cross multiply
    138,262x = 323,767 × 323,767
  4. Step 4: Simplify right side
    138,262x = 104,825,070,289
  5. Step 5: Solve for x
    x = 104,825,070,289/138,262
  6. Step 6: Final answer
    x = 758,162.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.