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Finding the Third Proportional to 8,236 and 17,390

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Solution

The third proportional to 8,236 and 17,390 is: 36,718.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,236 : 17,390 = 17,390 : x
  2. Step 2: Convert to fraction form
    8,236/17,390 = 17,390/x
  3. Step 3: Cross multiply
    8,236x = 17,390 × 17,390
  4. Step 4: Simplify right side
    8,236x = 302,412,100
  5. Step 5: Solve for x
    x = 302,412,100/8,236
  6. Step 6: Final answer
    x = 36,718.32

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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.