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Finding the Third Proportional to 3,838.64 and 8,372.11

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Solution

The third proportional to 3,838.64 and 8,372.11 is: 18,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.64 : 8,372.11 = 8,372.11 : x
  2. Step 2: Convert to fraction form
    3,838.64/8,372.11 = 8,372.11/x
  3. Step 3: Cross multiply
    3,838.64x = 8,372.11 × 8,372.11
  4. Step 4: Simplify right side
    3,838.64x = 70,092,215.39
  5. Step 5: Solve for x
    x = 70,092,215.39/3,838.64
  6. Step 6: Final answer
    x = 18,259.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.