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Finding the Third Proportional to 108.42 and 143.37

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Solution

The third proportional to 108.42 and 143.37 is: 189.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.42 : 143.37 = 143.37 : x
  2. Step 2: Convert to fraction form
    108.42/143.37 = 143.37/x
  3. Step 3: Cross multiply
    108.42x = 143.37 × 143.37
  4. Step 4: Simplify right side
    108.42x = 20,554.15
  5. Step 5: Solve for x
    x = 20,554.15/108.42
  6. Step 6: Final answer
    x = 189.58

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.