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Finding the Third Proportional to 3,306 and 8,643

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Solution

The third proportional to 3,306 and 8,643 is: 22,595.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306 : 8,643 = 8,643 : x
  2. Step 2: Convert to fraction form
    3,306/8,643 = 8,643/x
  3. Step 3: Cross multiply
    3,306x = 8,643 × 8,643
  4. Step 4: Simplify right side
    3,306x = 74,701,449
  5. Step 5: Solve for x
    x = 74,701,449/3,306
  6. Step 6: Final answer
    x = 22,595.72

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.