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Finding the Third Proportional to 177,976 and 275,484

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Solution

The third proportional to 177,976 and 275,484 is: 426,413.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,976 : 275,484 = 275,484 : x
  2. Step 2: Convert to fraction form
    177,976/275,484 = 275,484/x
  3. Step 3: Cross multiply
    177,976x = 275,484 × 275,484
  4. Step 4: Simplify right side
    177,976x = 75,891,434,256
  5. Step 5: Solve for x
    x = 75,891,434,256/177,976
  6. Step 6: Final answer
    x = 426,413.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.