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Finding the Third Proportional to 660.23 and 959.55

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Solution

The third proportional to 660.23 and 959.55 is: 1,394.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.23 : 959.55 = 959.55 : x
  2. Step 2: Convert to fraction form
    660.23/959.55 = 959.55/x
  3. Step 3: Cross multiply
    660.23x = 959.55 × 959.55
  4. Step 4: Simplify right side
    660.23x = 920,745.20
  5. Step 5: Solve for x
    x = 920,745.20/660.23
  6. Step 6: Final answer
    x = 1,394.57

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.