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Finding the Third Proportional to 506.81 and 762.47

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Solution

The third proportional to 506.81 and 762.47 is: 1,147.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.81 : 762.47 = 762.47 : x
  2. Step 2: Convert to fraction form
    506.81/762.47 = 762.47/x
  3. Step 3: Cross multiply
    506.81x = 762.47 × 762.47
  4. Step 4: Simplify right side
    506.81x = 581,358.59
  5. Step 5: Solve for x
    x = 581,358.59/506.81
  6. Step 6: Final answer
    x = 1,147.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.