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Finding the Third Proportional to 18,744.50 and 39,209

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Solution

The third proportional to 18,744.50 and 39,209 is: 82,015.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,744.50 : 39,209 = 39,209 : x
  2. Step 2: Convert to fraction form
    18,744.50/39,209 = 39,209/x
  3. Step 3: Cross multiply
    18,744.50x = 39,209 × 39,209
  4. Step 4: Simplify right side
    18,744.50x = 1,537,345,681
  5. Step 5: Solve for x
    x = 1,537,345,681/18,744.50
  6. Step 6: Final answer
    x = 82,015.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.