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Finding the Third Proportional to 197,148 and 278,960.25

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Solution

The third proportional to 197,148 and 278,960.25 is: 394,722.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,148 : 278,960.25 = 278,960.25 : x
  2. Step 2: Convert to fraction form
    197,148/278,960.25 = 278,960.25/x
  3. Step 3: Cross multiply
    197,148x = 278,960.25 × 278,960.25
  4. Step 4: Simplify right side
    197,148x = 77,818,821,080.06
  5. Step 5: Solve for x
    x = 77,818,821,080.06/197,148
  6. Step 6: Final answer
    x = 394,722.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.