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Finding the Third Proportional to 622.92 and 941.03

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Solution

The third proportional to 622.92 and 941.03 is: 1,421.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.92 : 941.03 = 941.03 : x
  2. Step 2: Convert to fraction form
    622.92/941.03 = 941.03/x
  3. Step 3: Cross multiply
    622.92x = 941.03 × 941.03
  4. Step 4: Simplify right side
    622.92x = 885,540.73
  5. Step 5: Solve for x
    x = 885,540.73/622.92
  6. Step 6: Final answer
    x = 1,421.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.