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Finding the Third Proportional to 737.54 and 1,638.98

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Solution

The third proportional to 737.54 and 1,638.98 is: 3,642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.54 : 1,638.98 = 1,638.98 : x
  2. Step 2: Convert to fraction form
    737.54/1,638.98 = 1,638.98/x
  3. Step 3: Cross multiply
    737.54x = 1,638.98 × 1,638.98
  4. Step 4: Simplify right side
    737.54x = 2,686,269.78
  5. Step 5: Solve for x
    x = 2,686,269.78/737.54
  6. Step 6: Final answer
    x = 3,642.19

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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.