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Finding the Third Proportional to 197,166 and 278,988

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Solution

The third proportional to 197,166 and 278,988 is: 394,765.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,166 : 278,988 = 278,988 : x
  2. Step 2: Convert to fraction form
    197,166/278,988 = 278,988/x
  3. Step 3: Cross multiply
    197,166x = 278,988 × 278,988
  4. Step 4: Simplify right side
    197,166x = 77,834,304,144
  5. Step 5: Solve for x
    x = 77,834,304,144/197,166
  6. Step 6: Final answer
    x = 394,765.35

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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.