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Finding the Third Proportional to 65.44 and 143.94

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Solution

The third proportional to 65.44 and 143.94 is: 316.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.44 : 143.94 = 143.94 : x
  2. Step 2: Convert to fraction form
    65.44/143.94 = 143.94/x
  3. Step 3: Cross multiply
    65.44x = 143.94 × 143.94
  4. Step 4: Simplify right side
    65.44x = 20,718.00
  5. Step 5: Solve for x
    x = 20,718.00/65.44
  6. Step 6: Final answer
    x = 316.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.