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Finding the Third Proportional to 622.27 and 720.56

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Solution

The third proportional to 622.27 and 720.56 is: 834.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.27 : 720.56 = 720.56 : x
  2. Step 2: Convert to fraction form
    622.27/720.56 = 720.56/x
  3. Step 3: Cross multiply
    622.27x = 720.56 × 720.56
  4. Step 4: Simplify right side
    622.27x = 519,210.32
  5. Step 5: Solve for x
    x = 519,210.32/622.27
  6. Step 6: Final answer
    x = 834.39

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.