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Finding the Third Proportional to 737.72 and 1,639.27

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Solution

The third proportional to 737.72 and 1,639.27 is: 3,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.72 : 1,639.27 = 1,639.27 : x
  2. Step 2: Convert to fraction form
    737.72/1,639.27 = 1,639.27/x
  3. Step 3: Cross multiply
    737.72x = 1,639.27 × 1,639.27
  4. Step 4: Simplify right side
    737.72x = 2,687,191.79
  5. Step 5: Solve for x
    x = 2,687,191.79/737.72
  6. Step 6: Final answer
    x = 3,642.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.