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Finding the Third Proportional to 391.97 and 577.78

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Solution

The third proportional to 391.97 and 577.78 is: 851.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.97 : 577.78 = 577.78 : x
  2. Step 2: Convert to fraction form
    391.97/577.78 = 577.78/x
  3. Step 3: Cross multiply
    391.97x = 577.78 × 577.78
  4. Step 4: Simplify right side
    391.97x = 333,831.17
  5. Step 5: Solve for x
    x = 333,831.17/391.97
  6. Step 6: Final answer
    x = 851.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.