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Finding the Third Proportional to 490.75 and 539.88

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Solution

The third proportional to 490.75 and 539.88 is: 593.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.75 : 539.88 = 539.88 : x
  2. Step 2: Convert to fraction form
    490.75/539.88 = 539.88/x
  3. Step 3: Cross multiply
    490.75x = 539.88 × 539.88
  4. Step 4: Simplify right side
    490.75x = 291,465.02
  5. Step 5: Solve for x
    x = 291,465.02/490.75
  6. Step 6: Final answer
    x = 593.92

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.