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Finding the Third Proportional to 451.13 and 679.22

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Solution

The third proportional to 451.13 and 679.22 is: 1,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.13 : 679.22 = 679.22 : x
  2. Step 2: Convert to fraction form
    451.13/679.22 = 679.22/x
  3. Step 3: Cross multiply
    451.13x = 679.22 × 679.22
  4. Step 4: Simplify right side
    451.13x = 461,338.11
  5. Step 5: Solve for x
    x = 461,338.11/451.13
  6. Step 6: Final answer
    x = 1,022.64

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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.