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Finding the Third Proportional to 215,991 and 290,766

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Solution

The third proportional to 215,991 and 290,766 is: 391,427.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,991 : 290,766 = 290,766 : x
  2. Step 2: Convert to fraction form
    215,991/290,766 = 290,766/x
  3. Step 3: Cross multiply
    215,991x = 290,766 × 290,766
  4. Step 4: Simplify right side
    215,991x = 84,544,866,756
  5. Step 5: Solve for x
    x = 84,544,866,756/215,991
  6. Step 6: Final answer
    x = 391,427.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.