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Finding the Third Proportional to 215,239 and 335,161

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Solution

The third proportional to 215,239 and 335,161 is: 521,898.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,239 : 335,161 = 335,161 : x
  2. Step 2: Convert to fraction form
    215,239/335,161 = 335,161/x
  3. Step 3: Cross multiply
    215,239x = 335,161 × 335,161
  4. Step 4: Simplify right side
    215,239x = 112,332,895,921
  5. Step 5: Solve for x
    x = 112,332,895,921/215,239
  6. Step 6: Final answer
    x = 521,898.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.