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Finding the Third Proportional to 3,869.02 and 8,449.00

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Solution

The third proportional to 3,869.02 and 8,449.00 is: 18,450.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.02 : 8,449.00 = 8,449.00 : x
  2. Step 2: Convert to fraction form
    3,869.02/8,449.00 = 8,449.00/x
  3. Step 3: Cross multiply
    3,869.02x = 8,449.00 × 8,449.00
  4. Step 4: Simplify right side
    3,869.02x = 71,385,534.99
  5. Step 5: Solve for x
    x = 71,385,534.99/3,869.02
  6. Step 6: Final answer
    x = 18,450.57

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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.