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Finding the Third Proportional to 215,631 and 445,092

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Solution

The third proportional to 215,631 and 445,092 is: 918,731.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,631 : 445,092 = 445,092 : x
  2. Step 2: Convert to fraction form
    215,631/445,092 = 445,092/x
  3. Step 3: Cross multiply
    215,631x = 445,092 × 445,092
  4. Step 4: Simplify right side
    215,631x = 198,106,888,464
  5. Step 5: Solve for x
    x = 198,106,888,464/215,631
  6. Step 6: Final answer
    x = 918,731.02

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.