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Finding the Third Proportional to 18,702 and 39,199.50

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Solution

The third proportional to 18,702 and 39,199.50 is: 82,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,702 : 39,199.50 = 39,199.50 : x
  2. Step 2: Convert to fraction form
    18,702/39,199.50 = 39,199.50/x
  3. Step 3: Cross multiply
    18,702x = 39,199.50 × 39,199.50
  4. Step 4: Simplify right side
    18,702x = 1,536,600,800.25
  5. Step 5: Solve for x
    x = 1,536,600,800.25/18,702
  6. Step 6: Final answer
    x = 82,162.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.