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Finding the Third Proportional to 89.94 and 143.97

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Solution

The third proportional to 89.94 and 143.97 is: 230.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.94 : 143.97 = 143.97 : x
  2. Step 2: Convert to fraction form
    89.94/143.97 = 143.97/x
  3. Step 3: Cross multiply
    89.94x = 143.97 × 143.97
  4. Step 4: Simplify right side
    89.94x = 20,727.00
  5. Step 5: Solve for x
    x = 20,727.00/89.94
  6. Step 6: Final answer
    x = 230.46

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.