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Finding the Third Proportional to 215,395 and 469,956

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Solution

The third proportional to 215,395 and 469,956 is: 1,025,365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,395 : 469,956 = 469,956 : x
  2. Step 2: Convert to fraction form
    215,395/469,956 = 469,956/x
  3. Step 3: Cross multiply
    215,395x = 469,956 × 469,956
  4. Step 4: Simplify right side
    215,395x = 220,858,641,936
  5. Step 5: Solve for x
    x = 220,858,641,936/215,395
  6. Step 6: Final answer
    x = 1,025,365.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.