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Finding the Third Proportional to 138,812 and 196,552

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Solution

The third proportional to 138,812 and 196,552 is: 278,309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,812 : 196,552 = 196,552 : x
  2. Step 2: Convert to fraction form
    138,812/196,552 = 196,552/x
  3. Step 3: Cross multiply
    138,812x = 196,552 × 196,552
  4. Step 4: Simplify right side
    138,812x = 38,632,688,704
  5. Step 5: Solve for x
    x = 38,632,688,704/138,812
  6. Step 6: Final answer
    x = 278,309.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.