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Finding the Third Proportional to 108.88 and 180.88

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Solution

The third proportional to 108.88 and 180.88 is: 300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.88 : 180.88 = 180.88 : x
  2. Step 2: Convert to fraction form
    108.88/180.88 = 180.88/x
  3. Step 3: Cross multiply
    108.88x = 180.88 × 180.88
  4. Step 4: Simplify right side
    108.88x = 32,715.77
  5. Step 5: Solve for x
    x = 32,715.77/108.88
  6. Step 6: Final answer
    x = 300.49

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.