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Finding the Third Proportional to 305,381 and 664,974

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Solution

The third proportional to 305,381 and 664,974 is: 1,447,995.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,381 : 664,974 = 664,974 : x
  2. Step 2: Convert to fraction form
    305,381/664,974 = 664,974/x
  3. Step 3: Cross multiply
    305,381x = 664,974 × 664,974
  4. Step 4: Simplify right side
    305,381x = 442,190,420,676
  5. Step 5: Solve for x
    x = 442,190,420,676/305,381
  6. Step 6: Final answer
    x = 1,447,995.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.