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Finding the Third Proportional to 490.75 and 737.54

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Solution

The third proportional to 490.75 and 737.54 is: 1,108.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.75 : 737.54 = 737.54 : x
  2. Step 2: Convert to fraction form
    490.75/737.54 = 737.54/x
  3. Step 3: Cross multiply
    490.75x = 737.54 × 737.54
  4. Step 4: Simplify right side
    490.75x = 543,969.63
  5. Step 5: Solve for x
    x = 543,969.63/490.75
  6. Step 6: Final answer
    x = 1,108.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.