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Finding the Third Proportional to 422,903 and 655,847

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Solution

The third proportional to 422,903 and 655,847 is: 1,017,101.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,903 : 655,847 = 655,847 : x
  2. Step 2: Convert to fraction form
    422,903/655,847 = 655,847/x
  3. Step 3: Cross multiply
    422,903x = 655,847 × 655,847
  4. Step 4: Simplify right side
    422,903x = 430,135,287,409
  5. Step 5: Solve for x
    x = 430,135,287,409/422,903
  6. Step 6: Final answer
    x = 1,017,101.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.