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Finding the Third Proportional to 3,967.50 and 8,618.44

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Solution

The third proportional to 3,967.50 and 8,618.44 is: 18,721.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.50 : 8,618.44 = 8,618.44 : x
  2. Step 2: Convert to fraction form
    3,967.50/8,618.44 = 8,618.44/x
  3. Step 3: Cross multiply
    3,967.50x = 8,618.44 × 8,618.44
  4. Step 4: Simplify right side
    3,967.50x = 74,277,464.94
  5. Step 5: Solve for x
    x = 74,277,464.94/3,967.50
  6. Step 6: Final answer
    x = 18,721.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.