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Finding the Third Proportional to 159,086 and 222,987

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Solution

The third proportional to 159,086 and 222,987 is: 312,555.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,086 : 222,987 = 222,987 : x
  2. Step 2: Convert to fraction form
    159,086/222,987 = 222,987/x
  3. Step 3: Cross multiply
    159,086x = 222,987 × 222,987
  4. Step 4: Simplify right side
    159,086x = 49,723,202,169
  5. Step 5: Solve for x
    x = 49,723,202,169/159,086
  6. Step 6: Final answer
    x = 312,555.49

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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.