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Finding the Third Proportional to 158,969 and 222,811

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Solution

The third proportional to 158,969 and 222,811 is: 312,291.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,969 : 222,811 = 222,811 : x
  2. Step 2: Convert to fraction form
    158,969/222,811 = 222,811/x
  3. Step 3: Cross multiply
    158,969x = 222,811 × 222,811
  4. Step 4: Simplify right side
    158,969x = 49,644,741,721
  5. Step 5: Solve for x
    x = 49,644,741,721/158,969
  6. Step 6: Final answer
    x = 312,291.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.