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Finding the Third Proportional to 215,867 and 301,948

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Solution

The third proportional to 215,867 and 301,948 is: 422,355.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,867 : 301,948 = 301,948 : x
  2. Step 2: Convert to fraction form
    215,867/301,948 = 301,948/x
  3. Step 3: Cross multiply
    215,867x = 301,948 × 301,948
  4. Step 4: Simplify right side
    215,867x = 91,172,594,704
  5. Step 5: Solve for x
    x = 91,172,594,704/215,867
  6. Step 6: Final answer
    x = 422,355.41

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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.