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Finding the Third Proportional to 215,896 and 301,906

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Solution

The third proportional to 215,896 and 301,906 is: 422,181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,896 : 301,906 = 301,906 : x
  2. Step 2: Convert to fraction form
    215,896/301,906 = 301,906/x
  3. Step 3: Cross multiply
    215,896x = 301,906 × 301,906
  4. Step 4: Simplify right side
    215,896x = 91,147,232,836
  5. Step 5: Solve for x
    x = 91,147,232,836/215,896
  6. Step 6: Final answer
    x = 422,181.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.