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Finding the Third Proportional to 305,381 and 655,906

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Solution

The third proportional to 305,381 and 655,906 is: 1,408,773.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,381 : 655,906 = 655,906 : x
  2. Step 2: Convert to fraction form
    305,381/655,906 = 655,906/x
  3. Step 3: Cross multiply
    305,381x = 655,906 × 655,906
  4. Step 4: Simplify right side
    305,381x = 430,212,680,836
  5. Step 5: Solve for x
    x = 430,212,680,836/305,381
  6. Step 6: Final answer
    x = 1,408,773.57

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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.