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Finding the Third Proportional to 239.77 and 513.67

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Solution

The third proportional to 239.77 and 513.67 is: 1,100.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.77 : 513.67 = 513.67 : x
  2. Step 2: Convert to fraction form
    239.77/513.67 = 513.67/x
  3. Step 3: Cross multiply
    239.77x = 513.67 × 513.67
  4. Step 4: Simplify right side
    239.77x = 263,858.80
  5. Step 5: Solve for x
    x = 263,858.80/239.77
  6. Step 6: Final answer
    x = 1,100.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.