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Finding the Third Proportional to 622.75 and 873.25

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Solution

The third proportional to 622.75 and 873.25 is: 1,224.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.75 : 873.25 = 873.25 : x
  2. Step 2: Convert to fraction form
    622.75/873.25 = 873.25/x
  3. Step 3: Cross multiply
    622.75x = 873.25 × 873.25
  4. Step 4: Simplify right side
    622.75x = 762,565.56
  5. Step 5: Solve for x
    x = 762,565.56/622.75
  6. Step 6: Final answer
    x = 1,224.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.