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Finding the Third Proportional to 215,817 and 474,471

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Solution

The third proportional to 215,817 and 474,471 is: 1,043,118.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,817 : 474,471 = 474,471 : x
  2. Step 2: Convert to fraction form
    215,817/474,471 = 474,471/x
  3. Step 3: Cross multiply
    215,817x = 474,471 × 474,471
  4. Step 4: Simplify right side
    215,817x = 225,122,729,841
  5. Step 5: Solve for x
    x = 225,122,729,841/215,817
  6. Step 6: Final answer
    x = 1,043,118.61

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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.