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Finding the Third Proportional to 177,769 and 387,491

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Solution

The third proportional to 177,769 and 387,491 is: 844,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,769 : 387,491 = 387,491 : x
  2. Step 2: Convert to fraction form
    177,769/387,491 = 387,491/x
  3. Step 3: Cross multiply
    177,769x = 387,491 × 387,491
  4. Step 4: Simplify right side
    177,769x = 150,149,275,081
  5. Step 5: Solve for x
    x = 150,149,275,081/177,769
  6. Step 6: Final answer
    x = 844,631.38

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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.