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Finding the Third Proportional to 29.75 and 65.13

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Solution

The third proportional to 29.75 and 65.13 is: 142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.75 : 65.13 = 65.13 : x
  2. Step 2: Convert to fraction form
    29.75/65.13 = 65.13/x
  3. Step 3: Cross multiply
    29.75x = 65.13 × 65.13
  4. Step 4: Simplify right side
    29.75x = 4,241.27
  5. Step 5: Solve for x
    x = 4,241.27/29.75
  6. Step 6: Final answer
    x = 142.56

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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.