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Finding the Third Proportional to 622.97 and 818.86

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Solution

The third proportional to 622.97 and 818.86 is: 1,076.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.97 : 818.86 = 818.86 : x
  2. Step 2: Convert to fraction form
    622.97/818.86 = 818.86/x
  3. Step 3: Cross multiply
    622.97x = 818.86 × 818.86
  4. Step 4: Simplify right side
    622.97x = 670,530.68
  5. Step 5: Solve for x
    x = 670,530.68/622.97
  6. Step 6: Final answer
    x = 1,076.35

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.