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Finding the Third Proportional to 67.99 and 109.47

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Solution

The third proportional to 67.99 and 109.47 is: 176.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.99 : 109.47 = 109.47 : x
  2. Step 2: Convert to fraction form
    67.99/109.47 = 109.47/x
  3. Step 3: Cross multiply
    67.99x = 109.47 × 109.47
  4. Step 4: Simplify right side
    67.99x = 11,983.19
  5. Step 5: Solve for x
    x = 11,983.19/67.99
  6. Step 6: Final answer
    x = 176.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.