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Finding the Third Proportional to 512.63 and 769.31

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Solution

The third proportional to 512.63 and 769.31 is: 1,154.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.63 : 769.31 = 769.31 : x
  2. Step 2: Convert to fraction form
    512.63/769.31 = 769.31/x
  3. Step 3: Cross multiply
    512.63x = 769.31 × 769.31
  4. Step 4: Simplify right side
    512.63x = 591,841.72
  5. Step 5: Solve for x
    x = 591,841.72/512.63
  6. Step 6: Final answer
    x = 1,154.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.