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Finding the Third Proportional to 1,678.22 and 3,691.97

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Solution

The third proportional to 1,678.22 and 3,691.97 is: 8,122.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.22 : 3,691.97 = 3,691.97 : x
  2. Step 2: Convert to fraction form
    1,678.22/3,691.97 = 3,691.97/x
  3. Step 3: Cross multiply
    1,678.22x = 3,691.97 × 3,691.97
  4. Step 4: Simplify right side
    1,678.22x = 13,630,633.25
  5. Step 5: Solve for x
    x = 13,630,633.25/1,678.22
  6. Step 6: Final answer
    x = 8,122.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.