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Finding the Third Proportional to 252.88 and 542.13

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Solution

The third proportional to 252.88 and 542.13 is: 1,162.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.88 : 542.13 = 542.13 : x
  2. Step 2: Convert to fraction form
    252.88/542.13 = 542.13/x
  3. Step 3: Cross multiply
    252.88x = 542.13 × 542.13
  4. Step 4: Simplify right side
    252.88x = 293,899.52
  5. Step 5: Solve for x
    x = 293,899.52/252.88
  6. Step 6: Final answer
    x = 1,162.23

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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.