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Finding the Third Proportional to 179,480 and 391,561

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Solution

The third proportional to 179,480 and 391,561 is: 854,245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,480 : 391,561 = 391,561 : x
  2. Step 2: Convert to fraction form
    179,480/391,561 = 391,561/x
  3. Step 3: Cross multiply
    179,480x = 391,561 × 391,561
  4. Step 4: Simplify right side
    179,480x = 153,320,016,721
  5. Step 5: Solve for x
    x = 153,320,016,721/179,480
  6. Step 6: Final answer
    x = 854,245.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.