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Finding the Third Proportional to 737.54 and 1,620.95

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Solution

The third proportional to 737.54 and 1,620.95 is: 3,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.54 : 1,620.95 = 1,620.95 : x
  2. Step 2: Convert to fraction form
    737.54/1,620.95 = 1,620.95/x
  3. Step 3: Cross multiply
    737.54x = 1,620.95 × 1,620.95
  4. Step 4: Simplify right side
    737.54x = 2,627,476.37
  5. Step 5: Solve for x
    x = 2,627,476.37/737.54
  6. Step 6: Final answer
    x = 3,562.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.