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Finding the Third Proportional to 68.19 and 112.84

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Solution

The third proportional to 68.19 and 112.84 is: 186.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.19 : 112.84 = 112.84 : x
  2. Step 2: Convert to fraction form
    68.19/112.84 = 112.84/x
  3. Step 3: Cross multiply
    68.19x = 112.84 × 112.84
  4. Step 4: Simplify right side
    68.19x = 12,733.71
  5. Step 5: Solve for x
    x = 12,733.71/68.19
  6. Step 6: Final answer
    x = 186.75

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.