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Finding the Third Proportional to 499.76 and 757.12

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Solution

The third proportional to 499.76 and 757.12 is: 1,147.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.76 : 757.12 = 757.12 : x
  2. Step 2: Convert to fraction form
    499.76/757.12 = 757.12/x
  3. Step 3: Cross multiply
    499.76x = 757.12 × 757.12
  4. Step 4: Simplify right side
    499.76x = 573,231.61
  5. Step 5: Solve for x
    x = 573,231.61/499.76
  6. Step 6: Final answer
    x = 1,147.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.