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Finding the Third Proportional to 254,467 and 394,215

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Solution

The third proportional to 254,467 and 394,215 is: 610,709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,467 : 394,215 = 394,215 : x
  2. Step 2: Convert to fraction form
    254,467/394,215 = 394,215/x
  3. Step 3: Cross multiply
    254,467x = 394,215 × 394,215
  4. Step 4: Simplify right side
    254,467x = 155,405,466,225
  5. Step 5: Solve for x
    x = 155,405,466,225/254,467
  6. Step 6: Final answer
    x = 610,709.70

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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.