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Finding the Third Proportional to 215,903 and 301,916

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Solution

The third proportional to 215,903 and 301,916 is: 422,195.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,903 : 301,916 = 301,916 : x
  2. Step 2: Convert to fraction form
    215,903/301,916 = 301,916/x
  3. Step 3: Cross multiply
    215,903x = 301,916 × 301,916
  4. Step 4: Simplify right side
    215,903x = 91,153,271,056
  5. Step 5: Solve for x
    x = 91,153,271,056/215,903
  6. Step 6: Final answer
    x = 422,195.48

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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.