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Finding the Third Proportional to 239.31 and 506.94

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Solution

The third proportional to 239.31 and 506.94 is: 1,073.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.31 : 506.94 = 506.94 : x
  2. Step 2: Convert to fraction form
    239.31/506.94 = 506.94/x
  3. Step 3: Cross multiply
    239.31x = 506.94 × 506.94
  4. Step 4: Simplify right side
    239.31x = 256,985.63
  5. Step 5: Solve for x
    x = 256,985.63/239.31
  6. Step 6: Final answer
    x = 1,073.85

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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.