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Finding the Third Proportional to 70.41 and 84.56

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Solution

The third proportional to 70.41 and 84.56 is: 101.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.41 : 84.56 = 84.56 : x
  2. Step 2: Convert to fraction form
    70.41/84.56 = 84.56/x
  3. Step 3: Cross multiply
    70.41x = 84.56 × 84.56
  4. Step 4: Simplify right side
    70.41x = 7,150.82
  5. Step 5: Solve for x
    x = 7,150.82/70.41
  6. Step 6: Final answer
    x = 101.57

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.