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Finding the Third Proportional to 18,225 and 38,424.38

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Solution

The third proportional to 18,225 and 38,424.38 is: 81,011.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,225 : 38,424.38 = 38,424.38 : x
  2. Step 2: Convert to fraction form
    18,225/38,424.38 = 38,424.38/x
  3. Step 3: Cross multiply
    18,225x = 38,424.38 × 38,424.38
  4. Step 4: Simplify right side
    18,225x = 1,476,432,594.14
  5. Step 5: Solve for x
    x = 1,476,432,594.14/18,225
  6. Step 6: Final answer
    x = 81,011.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.