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Finding the Third Proportional to 578.13 and 851.88

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Solution

The third proportional to 578.13 and 851.88 is: 1,255.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.13 : 851.88 = 851.88 : x
  2. Step 2: Convert to fraction form
    578.13/851.88 = 851.88/x
  3. Step 3: Cross multiply
    578.13x = 851.88 × 851.88
  4. Step 4: Simplify right side
    578.13x = 725,691.02
  5. Step 5: Solve for x
    x = 725,691.02/578.13
  6. Step 6: Final answer
    x = 1,255.25

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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.