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Finding the Third Proportional to 90.70 and 143.44

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Solution

The third proportional to 90.70 and 143.44 is: 226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.70 : 143.44 = 143.44 : x
  2. Step 2: Convert to fraction form
    90.70/143.44 = 143.44/x
  3. Step 3: Cross multiply
    90.70x = 143.44 × 143.44
  4. Step 4: Simplify right side
    90.70x = 20,574.32
  5. Step 5: Solve for x
    x = 20,574.32/90.70
  6. Step 6: Final answer
    x = 226.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.