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Finding the Third Proportional to 360.41 and 542.21

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Solution

The third proportional to 360.41 and 542.21 is: 815.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.41 : 542.21 = 542.21 : x
  2. Step 2: Convert to fraction form
    360.41/542.21 = 542.21/x
  3. Step 3: Cross multiply
    360.41x = 542.21 × 542.21
  4. Step 4: Simplify right side
    360.41x = 293,993.36
  5. Step 5: Solve for x
    x = 293,993.36/360.41
  6. Step 6: Final answer
    x = 815.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.