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Finding the Third Proportional to 73.68 and 108.39

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Solution

The third proportional to 73.68 and 108.39 is: 159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.68 : 108.39 = 108.39 : x
  2. Step 2: Convert to fraction form
    73.68/108.39 = 108.39/x
  3. Step 3: Cross multiply
    73.68x = 108.39 × 108.39
  4. Step 4: Simplify right side
    73.68x = 11,748.16
  5. Step 5: Solve for x
    x = 11,748.16/73.68
  6. Step 6: Final answer
    x = 159.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.