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Finding the Third Proportional to 177,720 and 391,467

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Solution

The third proportional to 177,720 and 391,467 is: 862,291.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,720 : 391,467 = 391,467 : x
  2. Step 2: Convert to fraction form
    177,720/391,467 = 391,467/x
  3. Step 3: Cross multiply
    177,720x = 391,467 × 391,467
  4. Step 4: Simplify right side
    177,720x = 153,246,412,089
  5. Step 5: Solve for x
    x = 153,246,412,089/177,720
  6. Step 6: Final answer
    x = 862,291.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.