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Finding the Third Proportional to 101,909 and 149,731

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Solution

The third proportional to 101,909 and 149,731 is: 219,994.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,909 : 149,731 = 149,731 : x
  2. Step 2: Convert to fraction form
    101,909/149,731 = 149,731/x
  3. Step 3: Cross multiply
    101,909x = 149,731 × 149,731
  4. Step 4: Simplify right side
    101,909x = 22,419,372,361
  5. Step 5: Solve for x
    x = 22,419,372,361/101,909
  6. Step 6: Final answer
    x = 219,994.04

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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.