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Finding the Third Proportional to 3,906.21 and 8,437.12

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Solution

The third proportional to 3,906.21 and 8,437.12 is: 18,223.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.21 : 8,437.12 = 8,437.12 : x
  2. Step 2: Convert to fraction form
    3,906.21/8,437.12 = 8,437.12/x
  3. Step 3: Cross multiply
    3,906.21x = 8,437.12 × 8,437.12
  4. Step 4: Simplify right side
    3,906.21x = 71,184,926.87
  5. Step 5: Solve for x
    x = 71,184,926.87/3,906.21
  6. Step 6: Final answer
    x = 18,223.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.