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Finding the Third Proportional to 320.50 and 516.13

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Solution

The third proportional to 320.50 and 516.13 is: 831.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.50 : 516.13 = 516.13 : x
  2. Step 2: Convert to fraction form
    320.50/516.13 = 516.13/x
  3. Step 3: Cross multiply
    320.50x = 516.13 × 516.13
  4. Step 4: Simplify right side
    320.50x = 266,385.02
  5. Step 5: Solve for x
    x = 266,385.02/320.50
  6. Step 6: Final answer
    x = 831.15

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.