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Finding the Third Proportional to 19,805 and 41,243

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Solution

The third proportional to 19,805 and 41,243 is: 85,886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,805 : 41,243 = 41,243 : x
  2. Step 2: Convert to fraction form
    19,805/41,243 = 41,243/x
  3. Step 3: Cross multiply
    19,805x = 41,243 × 41,243
  4. Step 4: Simplify right side
    19,805x = 1,700,985,049
  5. Step 5: Solve for x
    x = 1,700,985,049/19,805
  6. Step 6: Final answer
    x = 85,886.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.