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Finding the Third Proportional to 8,360 and 17,409

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Solution

The third proportional to 8,360 and 17,409 is: 36,252.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,360 : 17,409 = 17,409 : x
  2. Step 2: Convert to fraction form
    8,360/17,409 = 17,409/x
  3. Step 3: Cross multiply
    8,360x = 17,409 × 17,409
  4. Step 4: Simplify right side
    8,360x = 303,073,281
  5. Step 5: Solve for x
    x = 303,073,281/8,360
  6. Step 6: Final answer
    x = 36,252.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.