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Finding the Third Proportional to 177,472 and 387,695

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Solution

The third proportional to 177,472 and 387,695 is: 846,935.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,472 : 387,695 = 387,695 : x
  2. Step 2: Convert to fraction form
    177,472/387,695 = 387,695/x
  3. Step 3: Cross multiply
    177,472x = 387,695 × 387,695
  4. Step 4: Simplify right side
    177,472x = 150,307,413,025
  5. Step 5: Solve for x
    x = 150,307,413,025/177,472
  6. Step 6: Final answer
    x = 846,935.93

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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.