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Finding the Third Proportional to 121,665 and 162,744.75

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Solution

The third proportional to 121,665 and 162,744.75 is: 217,694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,665 : 162,744.75 = 162,744.75 : x
  2. Step 2: Convert to fraction form
    121,665/162,744.75 = 162,744.75/x
  3. Step 3: Cross multiply
    121,665x = 162,744.75 × 162,744.75
  4. Step 4: Simplify right side
    121,665x = 26,485,853,652.56
  5. Step 5: Solve for x
    x = 26,485,853,652.56/121,665
  6. Step 6: Final answer
    x = 217,694.93

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.