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Finding the Third Proportional to 121,676 and 262,074

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Solution

The third proportional to 121,676 and 262,074 is: 564,472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,676 : 262,074 = 262,074 : x
  2. Step 2: Convert to fraction form
    121,676/262,074 = 262,074/x
  3. Step 3: Cross multiply
    121,676x = 262,074 × 262,074
  4. Step 4: Simplify right side
    121,676x = 68,682,781,476
  5. Step 5: Solve for x
    x = 68,682,781,476/121,676
  6. Step 6: Final answer
    x = 564,472.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.