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Finding the Third Proportional to 305,736 and 440,374

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Solution

The third proportional to 305,736 and 440,374 is: 634,302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,736 : 440,374 = 440,374 : x
  2. Step 2: Convert to fraction form
    305,736/440,374 = 440,374/x
  3. Step 3: Cross multiply
    305,736x = 440,374 × 440,374
  4. Step 4: Simplify right side
    305,736x = 193,929,259,876
  5. Step 5: Solve for x
    x = 193,929,259,876/305,736
  6. Step 6: Final answer
    x = 634,302.99

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.