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Finding the Third Proportional to 622.94 and 991.38

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Solution

The third proportional to 622.94 and 991.38 is: 1,577.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.94 : 991.38 = 991.38 : x
  2. Step 2: Convert to fraction form
    622.94/991.38 = 991.38/x
  3. Step 3: Cross multiply
    622.94x = 991.38 × 991.38
  4. Step 4: Simplify right side
    622.94x = 982,824.39
  5. Step 5: Solve for x
    x = 982,824.39/622.94
  6. Step 6: Final answer
    x = 1,577.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.