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Finding the Third Proportional to 215,331 and 308,241

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Solution

The third proportional to 215,331 and 308,241 is: 441,239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,331 : 308,241 = 308,241 : x
  2. Step 2: Convert to fraction form
    215,331/308,241 = 308,241/x
  3. Step 3: Cross multiply
    215,331x = 308,241 × 308,241
  4. Step 4: Simplify right side
    215,331x = 95,012,514,081
  5. Step 5: Solve for x
    x = 95,012,514,081/215,331
  6. Step 6: Final answer
    x = 441,239.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.