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Finding the Third Proportional to 516.80 and 1,110.80

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Solution

The third proportional to 516.80 and 1,110.80 is: 2,387.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.80 : 1,110.80 = 1,110.80 : x
  2. Step 2: Convert to fraction form
    516.80/1,110.80 = 1,110.80/x
  3. Step 3: Cross multiply
    516.80x = 1,110.80 × 1,110.80
  4. Step 4: Simplify right side
    516.80x = 1,233,869.70
  5. Step 5: Solve for x
    x = 1,233,869.70/516.80
  6. Step 6: Final answer
    x = 2,387.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.