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Finding the Third Proportional to 121,112 and 179,940

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Solution

The third proportional to 121,112 and 179,940 is: 267,342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,112 : 179,940 = 179,940 : x
  2. Step 2: Convert to fraction form
    121,112/179,940 = 179,940/x
  3. Step 3: Cross multiply
    121,112x = 179,940 × 179,940
  4. Step 4: Simplify right side
    121,112x = 32,378,403,600
  5. Step 5: Solve for x
    x = 32,378,403,600/121,112
  6. Step 6: Final answer
    x = 267,342.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.