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Finding the Third Proportional to 197,119 and 308,866

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Solution

The third proportional to 197,119 and 308,866 is: 483,962.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,119 : 308,866 = 308,866 : x
  2. Step 2: Convert to fraction form
    197,119/308,866 = 308,866/x
  3. Step 3: Cross multiply
    197,119x = 308,866 × 308,866
  4. Step 4: Simplify right side
    197,119x = 95,398,205,956
  5. Step 5: Solve for x
    x = 95,398,205,956/197,119
  6. Step 6: Final answer
    x = 483,962.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.