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Finding the Third Proportional to 68.25 and 147.28

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Solution

The third proportional to 68.25 and 147.28 is: 317.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.25 : 147.28 = 147.28 : x
  2. Step 2: Convert to fraction form
    68.25/147.28 = 147.28/x
  3. Step 3: Cross multiply
    68.25x = 147.28 × 147.28
  4. Step 4: Simplify right side
    68.25x = 21,691.77
  5. Step 5: Solve for x
    x = 21,691.77/68.25
  6. Step 6: Final answer
    x = 317.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.