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Finding the Third Proportional to 197,072 and 305,729

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Solution

The third proportional to 197,072 and 305,729 is: 474,294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,072 : 305,729 = 305,729 : x
  2. Step 2: Convert to fraction form
    197,072/305,729 = 305,729/x
  3. Step 3: Cross multiply
    197,072x = 305,729 × 305,729
  4. Step 4: Simplify right side
    197,072x = 93,470,221,441
  5. Step 5: Solve for x
    x = 93,470,221,441/197,072
  6. Step 6: Final answer
    x = 474,294.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.