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Finding the Third Proportional to 27,566 and 43,811

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Solution

The third proportional to 27,566 and 43,811 is: 69,629.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,566 : 43,811 = 43,811 : x
  2. Step 2: Convert to fraction form
    27,566/43,811 = 43,811/x
  3. Step 3: Cross multiply
    27,566x = 43,811 × 43,811
  4. Step 4: Simplify right side
    27,566x = 1,919,403,721
  5. Step 5: Solve for x
    x = 1,919,403,721/27,566
  6. Step 6: Final answer
    x = 69,629.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.