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Finding the Third Proportional to 197,275.50 and 279,141

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Solution

The third proportional to 197,275.50 and 279,141 is: 394,979.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,275.50 : 279,141 = 279,141 : x
  2. Step 2: Convert to fraction form
    197,275.50/279,141 = 279,141/x
  3. Step 3: Cross multiply
    197,275.50x = 279,141 × 279,141
  4. Step 4: Simplify right side
    197,275.50x = 77,919,697,881
  5. Step 5: Solve for x
    x = 77,919,697,881/197,275.50
  6. Step 6: Final answer
    x = 394,979.09

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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.