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Finding the Third Proportional to 70.88 and 144.91

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Solution

The third proportional to 70.88 and 144.91 is: 296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.88 : 144.91 = 144.91 : x
  2. Step 2: Convert to fraction form
    70.88/144.91 = 144.91/x
  3. Step 3: Cross multiply
    70.88x = 144.91 × 144.91
  4. Step 4: Simplify right side
    70.88x = 21,000.09
  5. Step 5: Solve for x
    x = 21,000.09/70.88
  6. Step 6: Final answer
    x = 296.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.