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Finding the Third Proportional to 18,225 and 39,217.50

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Solution

The third proportional to 18,225 and 39,217.50 is: 84,390.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,225 : 39,217.50 = 39,217.50 : x
  2. Step 2: Convert to fraction form
    18,225/39,217.50 = 39,217.50/x
  3. Step 3: Cross multiply
    18,225x = 39,217.50 × 39,217.50
  4. Step 4: Simplify right side
    18,225x = 1,538,012,306.25
  5. Step 5: Solve for x
    x = 1,538,012,306.25/18,225
  6. Step 6: Final answer
    x = 84,390.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.