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Finding the Third Proportional to 539.81 and 810.19

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Solution

The third proportional to 539.81 and 810.19 is: 1,215.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.81 : 810.19 = 810.19 : x
  2. Step 2: Convert to fraction form
    539.81/810.19 = 810.19/x
  3. Step 3: Cross multiply
    539.81x = 810.19 × 810.19
  4. Step 4: Simplify right side
    539.81x = 656,403.79
  5. Step 5: Solve for x
    x = 656,403.79/539.81
  6. Step 6: Final answer
    x = 1,215.98

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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.