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Finding the Third Proportional to 3,784.22 and 8,086.08

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Solution

The third proportional to 3,784.22 and 8,086.08 is: 17,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.22 : 8,086.08 = 8,086.08 : x
  2. Step 2: Convert to fraction form
    3,784.22/8,086.08 = 8,086.08/x
  3. Step 3: Cross multiply
    3,784.22x = 8,086.08 × 8,086.08
  4. Step 4: Simplify right side
    3,784.22x = 65,384,659.44
  5. Step 5: Solve for x
    x = 65,384,659.44/3,784.22
  6. Step 6: Final answer
    x = 17,278.25

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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.