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Finding the Third Proportional to 512.25 and 949.13

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Solution

The third proportional to 512.25 and 949.13 is: 1,758.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.25 : 949.13 = 949.13 : x
  2. Step 2: Convert to fraction form
    512.25/949.13 = 949.13/x
  3. Step 3: Cross multiply
    512.25x = 949.13 × 949.13
  4. Step 4: Simplify right side
    512.25x = 900,838.27
  5. Step 5: Solve for x
    x = 900,838.27/512.25
  6. Step 6: Final answer
    x = 1,758.59

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.