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Finding the Third Proportional to 68 and 168.25

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Solution

The third proportional to 68 and 168.25 is: 416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68 : 168.25 = 168.25 : x
  2. Step 2: Convert to fraction form
    68/168.25 = 168.25/x
  3. Step 3: Cross multiply
    68x = 168.25 × 168.25
  4. Step 4: Simplify right side
    68x = 28,308.06
  5. Step 5: Solve for x
    x = 28,308.06/68
  6. Step 6: Final answer
    x = 416.30

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.