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Finding the Third Proportional to 21,199 and 41,865

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Solution

The third proportional to 21,199 and 41,865 is: 82,677.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,199 : 41,865 = 41,865 : x
  2. Step 2: Convert to fraction form
    21,199/41,865 = 41,865/x
  3. Step 3: Cross multiply
    21,199x = 41,865 × 41,865
  4. Step 4: Simplify right side
    21,199x = 1,752,678,225
  5. Step 5: Solve for x
    x = 1,752,678,225/21,199
  6. Step 6: Final answer
    x = 82,677.40

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.