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Finding the Third Proportional to 197,072 and 408,154

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Solution

The third proportional to 197,072 and 408,154 is: 845,323.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,072 : 408,154 = 408,154 : x
  2. Step 2: Convert to fraction form
    197,072/408,154 = 408,154/x
  3. Step 3: Cross multiply
    197,072x = 408,154 × 408,154
  4. Step 4: Simplify right side
    197,072x = 166,589,687,716
  5. Step 5: Solve for x
    x = 166,589,687,716/197,072
  6. Step 6: Final answer
    x = 845,323.98

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.