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Finding the Third Proportional to 197,266 and 279,127.50

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Solution

The third proportional to 197,266 and 279,127.50 is: 394,959.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,266 : 279,127.50 = 279,127.50 : x
  2. Step 2: Convert to fraction form
    197,266/279,127.50 = 279,127.50/x
  3. Step 3: Cross multiply
    197,266x = 279,127.50 × 279,127.50
  4. Step 4: Simplify right side
    197,266x = 77,912,161,256.25
  5. Step 5: Solve for x
    x = 77,912,161,256.25/197,266
  6. Step 6: Final answer
    x = 394,959.91

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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.