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Finding the Third Proportional to 360.91 and 516.11

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Solution

The third proportional to 360.91 and 516.11 is: 738.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.91 : 516.11 = 516.11 : x
  2. Step 2: Convert to fraction form
    360.91/516.11 = 516.11/x
  3. Step 3: Cross multiply
    360.91x = 516.11 × 516.11
  4. Step 4: Simplify right side
    360.91x = 266,370.90
  5. Step 5: Solve for x
    x = 266,370.90/360.91
  6. Step 6: Final answer
    x = 738.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.