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Finding the Third Proportional to 235.75 and 542.31

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Solution

The third proportional to 235.75 and 542.31 is: 1,247.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.75 : 542.31 = 542.31 : x
  2. Step 2: Convert to fraction form
    235.75/542.31 = 542.31/x
  3. Step 3: Cross multiply
    235.75x = 542.31 × 542.31
  4. Step 4: Simplify right side
    235.75x = 294,102.85
  5. Step 5: Solve for x
    x = 294,102.85/235.75
  6. Step 6: Final answer
    x = 1,247.52

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.