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Finding the Third Proportional to 305,102 and 451,422

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Solution

The third proportional to 305,102 and 451,422 is: 667,913.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,102 : 451,422 = 451,422 : x
  2. Step 2: Convert to fraction form
    305,102/451,422 = 451,422/x
  3. Step 3: Cross multiply
    305,102x = 451,422 × 451,422
  4. Step 4: Simplify right side
    305,102x = 203,781,822,084
  5. Step 5: Solve for x
    x = 203,781,822,084/305,102
  6. Step 6: Final answer
    x = 667,913.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.