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Finding the Third Proportional to 239.34 and 516.52

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Solution

The third proportional to 239.34 and 516.52 is: 1,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.34 : 516.52 = 516.52 : x
  2. Step 2: Convert to fraction form
    239.34/516.52 = 516.52/x
  3. Step 3: Cross multiply
    239.34x = 516.52 × 516.52
  4. Step 4: Simplify right side
    239.34x = 266,788.39
  5. Step 5: Solve for x
    x = 266,788.39/239.34
  6. Step 6: Final answer
    x = 1,114.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.