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Finding the Third Proportional to 177,471 and 387,693

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Solution

The third proportional to 177,471 and 387,693 is: 846,931.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,471 : 387,693 = 387,693 : x
  2. Step 2: Convert to fraction form
    177,471/387,693 = 387,693/x
  3. Step 3: Cross multiply
    177,471x = 387,693 × 387,693
  4. Step 4: Simplify right side
    177,471x = 150,305,862,249
  5. Step 5: Solve for x
    x = 150,305,862,249/177,471
  6. Step 6: Final answer
    x = 846,931.96

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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.