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Finding the Third Proportional to 70.20 and 143.85

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Solution

The third proportional to 70.20 and 143.85 is: 294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.20 : 143.85 = 143.85 : x
  2. Step 2: Convert to fraction form
    70.20/143.85 = 143.85/x
  3. Step 3: Cross multiply
    70.20x = 143.85 × 143.85
  4. Step 4: Simplify right side
    70.20x = 20,691.73
  5. Step 5: Solve for x
    x = 20,691.73/70.20
  6. Step 6: Final answer
    x = 294.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.