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Finding the Third Proportional to 143.96 and 296.47

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Solution

The third proportional to 143.96 and 296.47 is: 610.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.96 : 296.47 = 296.47 : x
  2. Step 2: Convert to fraction form
    143.96/296.47 = 296.47/x
  3. Step 3: Cross multiply
    143.96x = 296.47 × 296.47
  4. Step 4: Simplify right side
    143.96x = 87,896.04
  5. Step 5: Solve for x
    x = 87,896.04/143.96
  6. Step 6: Final answer
    x = 610.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.