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Finding the Third Proportional to 177,747 and 391,524

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Solution

The third proportional to 177,747 and 391,524 is: 862,411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,747 : 391,524 = 391,524 : x
  2. Step 2: Convert to fraction form
    177,747/391,524 = 391,524/x
  3. Step 3: Cross multiply
    177,747x = 391,524 × 391,524
  4. Step 4: Simplify right side
    177,747x = 153,291,042,576
  5. Step 5: Solve for x
    x = 153,291,042,576/177,747
  6. Step 6: Final answer
    x = 862,411.42

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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.