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Finding the Third Proportional to 499.78 and 746.44

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Solution

The third proportional to 499.78 and 746.44 is: 1,114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.78 : 746.44 = 746.44 : x
  2. Step 2: Convert to fraction form
    499.78/746.44 = 746.44/x
  3. Step 3: Cross multiply
    499.78x = 746.44 × 746.44
  4. Step 4: Simplify right side
    499.78x = 557,168.94
  5. Step 5: Solve for x
    x = 557,168.94/499.78
  6. Step 6: Final answer
    x = 1,114.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.