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Finding the Third Proportional to 18,147 and 39,165

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Solution

The third proportional to 18,147 and 39,165 is: 84,526.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,147 : 39,165 = 39,165 : x
  2. Step 2: Convert to fraction form
    18,147/39,165 = 39,165/x
  3. Step 3: Cross multiply
    18,147x = 39,165 × 39,165
  4. Step 4: Simplify right side
    18,147x = 1,533,897,225
  5. Step 5: Solve for x
    x = 1,533,897,225/18,147
  6. Step 6: Final answer
    x = 84,526.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.