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Finding the Third Proportional to 29.38 and 68.13

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Solution

The third proportional to 29.38 and 68.13 is: 157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.38 : 68.13 = 68.13 : x
  2. Step 2: Convert to fraction form
    29.38/68.13 = 68.13/x
  3. Step 3: Cross multiply
    29.38x = 68.13 × 68.13
  4. Step 4: Simplify right side
    29.38x = 4,641.02
  5. Step 5: Solve for x
    x = 4,641.02/29.38
  6. Step 6: Final answer
    x = 157.99

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.