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Finding the Third Proportional to 359.86 and 539.79

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Solution

The third proportional to 359.86 and 539.79 is: 809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.86 : 539.79 = 539.79 : x
  2. Step 2: Convert to fraction form
    359.86/539.79 = 539.79/x
  3. Step 3: Cross multiply
    359.86x = 539.79 × 539.79
  4. Step 4: Simplify right side
    359.86x = 291,372.23
  5. Step 5: Solve for x
    x = 291,372.23/359.86
  6. Step 6: Final answer
    x = 809.68

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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.