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Finding the Third Proportional to 18,665.44 and 39,517.03

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Solution

The third proportional to 18,665.44 and 39,517.03 is: 83,662.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,665.44 : 39,517.03 = 39,517.03 : x
  2. Step 2: Convert to fraction form
    18,665.44/39,517.03 = 39,517.03/x
  3. Step 3: Cross multiply
    18,665.44x = 39,517.03 × 39,517.03
  4. Step 4: Simplify right side
    18,665.44x = 1,561,595,758.81
  5. Step 5: Solve for x
    x = 1,561,595,758.81/18,665.44
  6. Step 6: Final answer
    x = 83,662.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.