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Finding the Third Proportional to 121,401.75 and 179,747.25

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Solution

The third proportional to 121,401.75 and 179,747.25 is: 266,133.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,401.75 : 179,747.25 = 179,747.25 : x
  2. Step 2: Convert to fraction form
    121,401.75/179,747.25 = 179,747.25/x
  3. Step 3: Cross multiply
    121,401.75x = 179,747.25 × 179,747.25
  4. Step 4: Simplify right side
    121,401.75x = 32,309,073,882.56
  5. Step 5: Solve for x
    x = 32,309,073,882.56/121,401.75
  6. Step 6: Final answer
    x = 266,133.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.