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Finding the Third Proportional to 499.13 and 762.38

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Solution

The third proportional to 499.13 and 762.38 is: 1,164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.13 : 762.38 = 762.38 : x
  2. Step 2: Convert to fraction form
    499.13/762.38 = 762.38/x
  3. Step 3: Cross multiply
    499.13x = 762.38 × 762.38
  4. Step 4: Simplify right side
    499.13x = 581,215.64
  5. Step 5: Solve for x
    x = 581,215.64/499.13
  6. Step 6: Final answer
    x = 1,164.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.