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Finding the Third Proportional to 215,928 and 474,368

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Solution

The third proportional to 215,928 and 474,368 is: 1,042,129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,928 : 474,368 = 474,368 : x
  2. Step 2: Convert to fraction form
    215,928/474,368 = 474,368/x
  3. Step 3: Cross multiply
    215,928x = 474,368 × 474,368
  4. Step 4: Simplify right side
    215,928x = 225,024,999,424
  5. Step 5: Solve for x
    x = 225,024,999,424/215,928
  6. Step 6: Final answer
    x = 1,042,129.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.