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Finding the Third Proportional to 96.43 and 144.49

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Solution

The third proportional to 96.43 and 144.49 is: 216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.43 : 144.49 = 144.49 : x
  2. Step 2: Convert to fraction form
    96.43/144.49 = 144.49/x
  3. Step 3: Cross multiply
    96.43x = 144.49 × 144.49
  4. Step 4: Simplify right side
    96.43x = 20,877.99
  5. Step 5: Solve for x
    x = 20,877.99/96.43
  6. Step 6: Final answer
    x = 216.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.