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Finding the Third Proportional to 108.75 and 154.63

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Solution

The third proportional to 108.75 and 154.63 is: 219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.75 : 154.63 = 154.63 : x
  2. Step 2: Convert to fraction form
    108.75/154.63 = 154.63/x
  3. Step 3: Cross multiply
    108.75x = 154.63 × 154.63
  4. Step 4: Simplify right side
    108.75x = 23,908.89
  5. Step 5: Solve for x
    x = 23,908.89/108.75
  6. Step 6: Final answer
    x = 219.85

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.