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Finding the Third Proportional to 205.88 and 486.13

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Solution

The third proportional to 205.88 and 486.13 is: 1,147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.88 : 486.13 = 486.13 : x
  2. Step 2: Convert to fraction form
    205.88/486.13 = 486.13/x
  3. Step 3: Cross multiply
    205.88x = 486.13 × 486.13
  4. Step 4: Simplify right side
    205.88x = 236,317.52
  5. Step 5: Solve for x
    x = 236,317.52/205.88
  6. Step 6: Final answer
    x = 1,147.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.