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Finding the Third Proportional to 120,214 and 176,919

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Solution

The third proportional to 120,214 and 176,919 is: 260,371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,214 : 176,919 = 176,919 : x
  2. Step 2: Convert to fraction form
    120,214/176,919 = 176,919/x
  3. Step 3: Cross multiply
    120,214x = 176,919 × 176,919
  4. Step 4: Simplify right side
    120,214x = 31,300,332,561
  5. Step 5: Solve for x
    x = 31,300,332,561/120,214
  6. Step 6: Final answer
    x = 260,371.78

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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.