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Finding the Third Proportional to 197,080 and 300,542

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Solution

The third proportional to 197,080 and 300,542 is: 458,318.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,080 : 300,542 = 300,542 : x
  2. Step 2: Convert to fraction form
    197,080/300,542 = 300,542/x
  3. Step 3: Cross multiply
    197,080x = 300,542 × 300,542
  4. Step 4: Simplify right side
    197,080x = 90,325,493,764
  5. Step 5: Solve for x
    x = 90,325,493,764/197,080
  6. Step 6: Final answer
    x = 458,318.93

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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.