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Finding the Third Proportional to 539.41 and 809.65

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Solution

The third proportional to 539.41 and 809.65 is: 1,215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.41 : 809.65 = 809.65 : x
  2. Step 2: Convert to fraction form
    539.41/809.65 = 809.65/x
  3. Step 3: Cross multiply
    539.41x = 809.65 × 809.65
  4. Step 4: Simplify right side
    539.41x = 655,527.48
  5. Step 5: Solve for x
    x = 655,527.48/539.41
  6. Step 6: Final answer
    x = 1,215.27

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