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Finding the Third Proportional to 305,836 and 422,610

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Solution

The third proportional to 305,836 and 422,610 is: 583,970.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,836 : 422,610 = 422,610 : x
  2. Step 2: Convert to fraction form
    305,836/422,610 = 422,610/x
  3. Step 3: Cross multiply
    305,836x = 422,610 × 422,610
  4. Step 4: Simplify right side
    305,836x = 178,599,212,100
  5. Step 5: Solve for x
    x = 178,599,212,100/305,836
  6. Step 6: Final answer
    x = 583,970.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.