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Finding the Third Proportional to 512.58 and 800.90

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Solution

The third proportional to 512.58 and 800.90 is: 1,251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.58 : 800.90 = 800.90 : x
  2. Step 2: Convert to fraction form
    512.58/800.90 = 800.90/x
  3. Step 3: Cross multiply
    512.58x = 800.90 × 800.90
  4. Step 4: Simplify right side
    512.58x = 641,446.13
  5. Step 5: Solve for x
    x = 641,446.13/512.58
  6. Step 6: Final answer
    x = 1,251.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.