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Finding the Third Proportional to 179,732 and 391,180

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Solution

The third proportional to 179,732 and 391,180 is: 851,388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,732 : 391,180 = 391,180 : x
  2. Step 2: Convert to fraction form
    179,732/391,180 = 391,180/x
  3. Step 3: Cross multiply
    179,732x = 391,180 × 391,180
  4. Step 4: Simplify right side
    179,732x = 153,021,792,400
  5. Step 5: Solve for x
    x = 153,021,792,400/179,732
  6. Step 6: Final answer
    x = 851,388.69

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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.