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Finding the Third Proportional to 305,419 and 658,165

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Solution

The third proportional to 305,419 and 658,165 is: 1,418,317.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,419 : 658,165 = 658,165 : x
  2. Step 2: Convert to fraction form
    305,419/658,165 = 658,165/x
  3. Step 3: Cross multiply
    305,419x = 658,165 × 658,165
  4. Step 4: Simplify right side
    305,419x = 433,181,167,225
  5. Step 5: Solve for x
    x = 433,181,167,225/305,419
  6. Step 6: Final answer
    x = 1,418,317.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.