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Finding the Third Proportional to 27,821 and 43,142

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Solution

The third proportional to 27,821 and 43,142 is: 66,900.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,821 : 43,142 = 43,142 : x
  2. Step 2: Convert to fraction form
    27,821/43,142 = 43,142/x
  3. Step 3: Cross multiply
    27,821x = 43,142 × 43,142
  4. Step 4: Simplify right side
    27,821x = 1,861,232,164
  5. Step 5: Solve for x
    x = 1,861,232,164/27,821
  6. Step 6: Final answer
    x = 66,900.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.