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Finding the Third Proportional to 712.97 and 959.55

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Solution

The third proportional to 712.97 and 959.55 is: 1,291.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.97 : 959.55 = 959.55 : x
  2. Step 2: Convert to fraction form
    712.97/959.55 = 959.55/x
  3. Step 3: Cross multiply
    712.97x = 959.55 × 959.55
  4. Step 4: Simplify right side
    712.97x = 920,745.20
  5. Step 5: Solve for x
    x = 920,745.20/712.97
  6. Step 6: Final answer
    x = 1,291.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.