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Finding the Third Proportional to 68.77 and 145.27

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Solution

The third proportional to 68.77 and 145.27 is: 306.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.77 : 145.27 = 145.27 : x
  2. Step 2: Convert to fraction form
    68.77/145.27 = 145.27/x
  3. Step 3: Cross multiply
    68.77x = 145.27 × 145.27
  4. Step 4: Simplify right side
    68.77x = 21,102.10
  5. Step 5: Solve for x
    x = 21,102.10/68.77
  6. Step 6: Final answer
    x = 306.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.