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Finding the Third Proportional to 197,115 and 308,859.75

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Solution

The third proportional to 197,115 and 308,859.75 is: 483,952.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,115 : 308,859.75 = 308,859.75 : x
  2. Step 2: Convert to fraction form
    197,115/308,859.75 = 308,859.75/x
  3. Step 3: Cross multiply
    197,115x = 308,859.75 × 308,859.75
  4. Step 4: Simplify right side
    197,115x = 95,394,345,170.06
  5. Step 5: Solve for x
    x = 95,394,345,170.06/197,115
  6. Step 6: Final answer
    x = 483,952.74

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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.