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Finding the Third Proportional to 300,194 and 422,210

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Solution

The third proportional to 300,194 and 422,210 is: 593,820.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,194 : 422,210 = 422,210 : x
  2. Step 2: Convert to fraction form
    300,194/422,210 = 422,210/x
  3. Step 3: Cross multiply
    300,194x = 422,210 × 422,210
  4. Step 4: Simplify right side
    300,194x = 178,261,284,100
  5. Step 5: Solve for x
    x = 178,261,284,100/300,194
  6. Step 6: Final answer
    x = 593,820.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.