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Finding the Third Proportional to 17,353 and 36,866

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Solution

The third proportional to 17,353 and 36,866 is: 78,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,353 : 36,866 = 36,866 : x
  2. Step 2: Convert to fraction form
    17,353/36,866 = 36,866/x
  3. Step 3: Cross multiply
    17,353x = 36,866 × 36,866
  4. Step 4: Simplify right side
    17,353x = 1,359,101,956
  5. Step 5: Solve for x
    x = 1,359,101,956/17,353
  6. Step 6: Final answer
    x = 78,320.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.