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Finding the Third Proportional to 90.70 and 144.28

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Solution

The third proportional to 90.70 and 144.28 is: 229.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.70 : 144.28 = 144.28 : x
  2. Step 2: Convert to fraction form
    90.70/144.28 = 144.28/x
  3. Step 3: Cross multiply
    90.70x = 144.28 × 144.28
  4. Step 4: Simplify right side
    90.70x = 20,817.08
  5. Step 5: Solve for x
    x = 20,817.08/90.70
  6. Step 6: Final answer
    x = 229.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.