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Finding the Third Proportional to 622.13 and 677.25

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Solution

The third proportional to 622.13 and 677.25 is: 737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.13 : 677.25 = 677.25 : x
  2. Step 2: Convert to fraction form
    622.13/677.25 = 677.25/x
  3. Step 3: Cross multiply
    622.13x = 677.25 × 677.25
  4. Step 4: Simplify right side
    622.13x = 458,667.56
  5. Step 5: Solve for x
    x = 458,667.56/622.13
  6. Step 6: Final answer
    x = 737.26

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.