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Finding the Third Proportional to 197,840 and 419,222

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Solution

The third proportional to 197,840 and 419,222 is: 888,329.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,840 : 419,222 = 419,222 : x
  2. Step 2: Convert to fraction form
    197,840/419,222 = 419,222/x
  3. Step 3: Cross multiply
    197,840x = 419,222 × 419,222
  4. Step 4: Simplify right side
    197,840x = 175,747,085,284
  5. Step 5: Solve for x
    x = 175,747,085,284/197,840
  6. Step 6: Final answer
    x = 888,329.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.