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Finding the Third Proportional to 665.75 and 951.25

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Solution

The third proportional to 665.75 and 951.25 is: 1,359.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.75 : 951.25 = 951.25 : x
  2. Step 2: Convert to fraction form
    665.75/951.25 = 951.25/x
  3. Step 3: Cross multiply
    665.75x = 951.25 × 951.25
  4. Step 4: Simplify right side
    665.75x = 904,876.56
  5. Step 5: Solve for x
    x = 904,876.56/665.75
  6. Step 6: Final answer
    x = 1,359.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.