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Finding the Third Proportional to 197,079.75 and 300,540

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Solution

The third proportional to 197,079.75 and 300,540 is: 458,313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,079.75 : 300,540 = 300,540 : x
  2. Step 2: Convert to fraction form
    197,079.75/300,540 = 300,540/x
  3. Step 3: Cross multiply
    197,079.75x = 300,540 × 300,540
  4. Step 4: Simplify right side
    197,079.75x = 90,324,291,600
  5. Step 5: Solve for x
    x = 90,324,291,600/197,079.75
  6. Step 6: Final answer
    x = 458,313.41

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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.