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Finding the Third Proportional to 239.07 and 506.97

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Solution

The third proportional to 239.07 and 506.97 is: 1,075.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.07 : 506.97 = 506.97 : x
  2. Step 2: Convert to fraction form
    239.07/506.97 = 506.97/x
  3. Step 3: Cross multiply
    239.07x = 506.97 × 506.97
  4. Step 4: Simplify right side
    239.07x = 257,020.41
  5. Step 5: Solve for x
    x = 257,020.41/239.07
  6. Step 6: Final answer
    x = 1,075.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.