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Finding the Third Proportional to 691.75 and 1,663

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Solution

The third proportional to 691.75 and 1,663 is: 3,997.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.75 : 1,663 = 1,663 : x
  2. Step 2: Convert to fraction form
    691.75/1,663 = 1,663/x
  3. Step 3: Cross multiply
    691.75x = 1,663 × 1,663
  4. Step 4: Simplify right side
    691.75x = 2,765,569
  5. Step 5: Solve for x
    x = 2,765,569/691.75
  6. Step 6: Final answer
    x = 3,997.93

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.