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Finding the Third Proportional to 68.77 and 149.86

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Solution

The third proportional to 68.77 and 149.86 is: 326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.77 : 149.86 = 149.86 : x
  2. Step 2: Convert to fraction form
    68.77/149.86 = 149.86/x
  3. Step 3: Cross multiply
    68.77x = 149.86 × 149.86
  4. Step 4: Simplify right side
    68.77x = 22,457.83
  5. Step 5: Solve for x
    x = 22,457.83/68.77
  6. Step 6: Final answer
    x = 326.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.