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Finding the Third Proportional to 21,176 and 27,846

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Solution

The third proportional to 21,176 and 27,846 is: 36,616.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,176 : 27,846 = 27,846 : x
  2. Step 2: Convert to fraction form
    21,176/27,846 = 27,846/x
  3. Step 3: Cross multiply
    21,176x = 27,846 × 27,846
  4. Step 4: Simplify right side
    21,176x = 775,399,716
  5. Step 5: Solve for x
    x = 775,399,716/21,176
  6. Step 6: Final answer
    x = 36,616.91

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.