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Finding the Third Proportional to 70.13 and 111.56

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Solution

The third proportional to 70.13 and 111.56 is: 177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.13 : 111.56 = 111.56 : x
  2. Step 2: Convert to fraction form
    70.13/111.56 = 111.56/x
  3. Step 3: Cross multiply
    70.13x = 111.56 × 111.56
  4. Step 4: Simplify right side
    70.13x = 12,446.19
  5. Step 5: Solve for x
    x = 12,446.19/70.13
  6. Step 6: Final answer
    x = 177.49

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.