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Finding the Third Proportional to 251.54 and 542.00

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Solution

The third proportional to 251.54 and 542.00 is: 1,167.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.54 : 542.00 = 542.00 : x
  2. Step 2: Convert to fraction form
    251.54/542.00 = 542.00/x
  3. Step 3: Cross multiply
    251.54x = 542.00 × 542.00
  4. Step 4: Simplify right side
    251.54x = 293,768.23
  5. Step 5: Solve for x
    x = 293,768.23/251.54
  6. Step 6: Final answer
    x = 1,167.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.