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Finding the Third Proportional to 179,469 and 391,540

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Solution

The third proportional to 179,469 and 391,540 is: 854,206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,469 : 391,540 = 391,540 : x
  2. Step 2: Convert to fraction form
    179,469/391,540 = 391,540/x
  3. Step 3: Cross multiply
    179,469x = 391,540 × 391,540
  4. Step 4: Simplify right side
    179,469x = 153,303,571,600
  5. Step 5: Solve for x
    x = 153,303,571,600/179,469
  6. Step 6: Final answer
    x = 854,206.42

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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.