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Finding the Third Proportional to 70.80 and 105.64

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Solution

The third proportional to 70.80 and 105.64 is: 157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.80 : 105.64 = 105.64 : x
  2. Step 2: Convert to fraction form
    70.80/105.64 = 105.64/x
  3. Step 3: Cross multiply
    70.80x = 105.64 × 105.64
  4. Step 4: Simplify right side
    70.80x = 11,160.77
  5. Step 5: Solve for x
    x = 11,160.77/70.80
  6. Step 6: Final answer
    x = 157.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.