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Finding the Third Proportional to 470.91 and 539.34

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Solution

The third proportional to 470.91 and 539.34 is: 617.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.91 : 539.34 = 539.34 : x
  2. Step 2: Convert to fraction form
    470.91/539.34 = 539.34/x
  3. Step 3: Cross multiply
    470.91x = 539.34 × 539.34
  4. Step 4: Simplify right side
    470.91x = 290,891.68
  5. Step 5: Solve for x
    x = 290,891.68/470.91
  6. Step 6: Final answer
    x = 617.73

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.