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Finding the Third Proportional to 8,166 and 17,715

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Solution

The third proportional to 8,166 and 17,715 is: 38,430.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166 : 17,715 = 17,715 : x
  2. Step 2: Convert to fraction form
    8,166/17,715 = 17,715/x
  3. Step 3: Cross multiply
    8,166x = 17,715 × 17,715
  4. Step 4: Simplify right side
    8,166x = 313,821,225
  5. Step 5: Solve for x
    x = 313,821,225/8,166
  6. Step 6: Final answer
    x = 38,430.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.