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Finding the Third Proportional to 197,154 and 300,609

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Solution

The third proportional to 197,154 and 300,609 is: 458,351.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,154 : 300,609 = 300,609 : x
  2. Step 2: Convert to fraction form
    197,154/300,609 = 300,609/x
  3. Step 3: Cross multiply
    197,154x = 300,609 × 300,609
  4. Step 4: Simplify right side
    197,154x = 90,365,770,881
  5. Step 5: Solve for x
    x = 90,365,770,881/197,154
  6. Step 6: Final answer
    x = 458,351.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.