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Finding the Third Proportional to 68.34 and 149.45

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Solution

The third proportional to 68.34 and 149.45 is: 326.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.34 : 149.45 = 149.45 : x
  2. Step 2: Convert to fraction form
    68.34/149.45 = 149.45/x
  3. Step 3: Cross multiply
    68.34x = 149.45 × 149.45
  4. Step 4: Simplify right side
    68.34x = 22,335.07
  5. Step 5: Solve for x
    x = 22,335.07/68.34
  6. Step 6: Final answer
    x = 326.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.