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Finding the Third Proportional to 143.96 and 206.77

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Solution

The third proportional to 143.96 and 206.77 is: 296.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.96 : 206.77 = 206.77 : x
  2. Step 2: Convert to fraction form
    143.96/206.77 = 206.77/x
  3. Step 3: Cross multiply
    143.96x = 206.77 × 206.77
  4. Step 4: Simplify right side
    143.96x = 42,754.45
  5. Step 5: Solve for x
    x = 42,754.45/143.96
  6. Step 6: Final answer
    x = 296.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.