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Finding the Third Proportional to 305,382 and 655,908

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Solution

The third proportional to 305,382 and 655,908 is: 1,408,777.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,382 : 655,908 = 655,908 : x
  2. Step 2: Convert to fraction form
    305,382/655,908 = 655,908/x
  3. Step 3: Cross multiply
    305,382x = 655,908 × 655,908
  4. Step 4: Simplify right side
    305,382x = 430,215,304,464
  5. Step 5: Solve for x
    x = 430,215,304,464/305,382
  6. Step 6: Final answer
    x = 1,408,777.55

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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.