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Finding the Third Proportional to 3,912.19 and 8,487.84

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Solution

The third proportional to 3,912.19 and 8,487.84 is: 18,415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.19 : 8,487.84 = 8,487.84 : x
  2. Step 2: Convert to fraction form
    3,912.19/8,487.84 = 8,487.84/x
  3. Step 3: Cross multiply
    3,912.19x = 8,487.84 × 8,487.84
  4. Step 4: Simplify right side
    3,912.19x = 72,043,491.52
  5. Step 5: Solve for x
    x = 72,043,491.52/3,912.19
  6. Step 6: Final answer
    x = 18,415.14

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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.