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Finding the Third Proportional to 239.76 and 516.30

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Solution

The third proportional to 239.76 and 516.30 is: 1,111.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.76 : 516.30 = 516.30 : x
  2. Step 2: Convert to fraction form
    239.76/516.30 = 516.30/x
  3. Step 3: Cross multiply
    239.76x = 516.30 × 516.30
  4. Step 4: Simplify right side
    239.76x = 266,561.45
  5. Step 5: Solve for x
    x = 266,561.45/239.76
  6. Step 6: Final answer
    x = 1,111.80

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Why These Related Problems?

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