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Finding the Third Proportional to 215,876 and 335,120

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Solution

The third proportional to 215,876 and 335,120 is: 520,231.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,876 : 335,120 = 335,120 : x
  2. Step 2: Convert to fraction form
    215,876/335,120 = 335,120/x
  3. Step 3: Cross multiply
    215,876x = 335,120 × 335,120
  4. Step 4: Simplify right side
    215,876x = 112,305,414,400
  5. Step 5: Solve for x
    x = 112,305,414,400/215,876
  6. Step 6: Final answer
    x = 520,231.13

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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.