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Finding the Third Proportional to 713.67 and 1,243.27

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Solution

The third proportional to 713.67 and 1,243.27 is: 2,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.67 : 1,243.27 = 1,243.27 : x
  2. Step 2: Convert to fraction form
    713.67/1,243.27 = 1,243.27/x
  3. Step 3: Cross multiply
    713.67x = 1,243.27 × 1,243.27
  4. Step 4: Simplify right side
    713.67x = 1,545,709.41
  5. Step 5: Solve for x
    x = 1,545,709.41/713.67
  6. Step 6: Final answer
    x = 2,165.85

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.