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Finding the Third Proportional to 602 and 665.75

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Solution

The third proportional to 602 and 665.75 is: 736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    602 : 665.75 = 665.75 : x
  2. Step 2: Convert to fraction form
    602/665.75 = 665.75/x
  3. Step 3: Cross multiply
    602x = 665.75 × 665.75
  4. Step 4: Simplify right side
    602x = 443,223.06
  5. Step 5: Solve for x
    x = 443,223.06/602
  6. Step 6: Final answer
    x = 736.25

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.