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Finding the Third Proportional to 512.81 and 752.16

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Solution

The third proportional to 512.81 and 752.16 is: 1,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.81 : 752.16 = 752.16 : x
  2. Step 2: Convert to fraction form
    512.81/752.16 = 752.16/x
  3. Step 3: Cross multiply
    512.81x = 752.16 × 752.16
  4. Step 4: Simplify right side
    512.81x = 565,739.02
  5. Step 5: Solve for x
    x = 565,739.02/512.81
  6. Step 6: Final answer
    x = 1,103.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.