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Finding the Third Proportional to 664.03 and 862.52

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Solution

The third proportional to 664.03 and 862.52 is: 1,120.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.03 : 862.52 = 862.52 : x
  2. Step 2: Convert to fraction form
    664.03/862.52 = 862.52/x
  3. Step 3: Cross multiply
    664.03x = 862.52 × 862.52
  4. Step 4: Simplify right side
    664.03x = 743,946.68
  5. Step 5: Solve for x
    x = 743,946.68/664.03
  6. Step 6: Final answer
    x = 1,120.35

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.