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Finding the Third Proportional to 19,822 and 41,283

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Solution

The third proportional to 19,822 and 41,283 is: 85,979.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,822 : 41,283 = 41,283 : x
  2. Step 2: Convert to fraction form
    19,822/41,283 = 41,283/x
  3. Step 3: Cross multiply
    19,822x = 41,283 × 41,283
  4. Step 4: Simplify right side
    19,822x = 1,704,286,089
  5. Step 5: Solve for x
    x = 1,704,286,089/19,822
  6. Step 6: Final answer
    x = 85,979.52

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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.