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Finding the Third Proportional to 215,295 and 308,177

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Solution

The third proportional to 215,295 and 308,177 is: 441,129.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,295 : 308,177 = 308,177 : x
  2. Step 2: Convert to fraction form
    215,295/308,177 = 308,177/x
  3. Step 3: Cross multiply
    215,295x = 308,177 × 308,177
  4. Step 4: Simplify right side
    215,295x = 94,973,063,329
  5. Step 5: Solve for x
    x = 94,973,063,329/215,295
  6. Step 6: Final answer
    x = 441,129.91

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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.