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Finding the Third Proportional to 197,907 and 402,726

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Solution

The third proportional to 197,907 and 402,726 is: 819,517.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,907 : 402,726 = 402,726 : x
  2. Step 2: Convert to fraction form
    197,907/402,726 = 402,726/x
  3. Step 3: Cross multiply
    197,907x = 402,726 × 402,726
  4. Step 4: Simplify right side
    197,907x = 162,188,231,076
  5. Step 5: Solve for x
    x = 162,188,231,076/197,907
  6. Step 6: Final answer
    x = 819,517.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.