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Finding the Third Proportional to 17,318 and 36,940

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Solution

The third proportional to 17,318 and 36,940 is: 78,794.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,318 : 36,940 = 36,940 : x
  2. Step 2: Convert to fraction form
    17,318/36,940 = 36,940/x
  3. Step 3: Cross multiply
    17,318x = 36,940 × 36,940
  4. Step 4: Simplify right side
    17,318x = 1,364,563,600
  5. Step 5: Solve for x
    x = 1,364,563,600/17,318
  6. Step 6: Final answer
    x = 78,794.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.