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Finding the Third Proportional to 108.19 and 143.16

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Solution

The third proportional to 108.19 and 143.16 is: 189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.19 : 143.16 = 143.16 : x
  2. Step 2: Convert to fraction form
    108.19/143.16 = 143.16/x
  3. Step 3: Cross multiply
    108.19x = 143.16 × 143.16
  4. Step 4: Simplify right side
    108.19x = 20,493.71
  5. Step 5: Solve for x
    x = 20,493.71/108.19
  6. Step 6: Final answer
    x = 189.43

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Why These Related Problems?

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