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Finding the Third Proportional to 8,213 and 17,659

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Solution

The third proportional to 8,213 and 17,659 is: 37,969.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213 : 17,659 = 17,659 : x
  2. Step 2: Convert to fraction form
    8,213/17,659 = 17,659/x
  3. Step 3: Cross multiply
    8,213x = 17,659 × 17,659
  4. Step 4: Simplify right side
    8,213x = 311,840,281
  5. Step 5: Solve for x
    x = 311,840,281/8,213
  6. Step 6: Final answer
    x = 37,969.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.