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Finding the Third Proportional to 177,552 and 387,972

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Solution

The third proportional to 177,552 and 387,972 is: 847,764.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,552 : 387,972 = 387,972 : x
  2. Step 2: Convert to fraction form
    177,552/387,972 = 387,972/x
  3. Step 3: Cross multiply
    177,552x = 387,972 × 387,972
  4. Step 4: Simplify right side
    177,552x = 150,522,272,784
  5. Step 5: Solve for x
    x = 150,522,272,784/177,552
  6. Step 6: Final answer
    x = 847,764.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.