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Finding the Third Proportional to 8,302 and 17,558

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Solution

The third proportional to 8,302 and 17,558 is: 37,133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302 : 17,558 = 17,558 : x
  2. Step 2: Convert to fraction form
    8,302/17,558 = 17,558/x
  3. Step 3: Cross multiply
    8,302x = 17,558 × 17,558
  4. Step 4: Simplify right side
    8,302x = 308,283,364
  5. Step 5: Solve for x
    x = 308,283,364/8,302
  6. Step 6: Final answer
    x = 37,133.63

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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.