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Finding the Third Proportional to 29.74 and 65.18

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Solution

The third proportional to 29.74 and 65.18 is: 142.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.74 : 65.18 = 65.18 : x
  2. Step 2: Convert to fraction form
    29.74/65.18 = 65.18/x
  3. Step 3: Cross multiply
    29.74x = 65.18 × 65.18
  4. Step 4: Simplify right side
    29.74x = 4,248.39
  5. Step 5: Solve for x
    x = 4,248.39/29.74
  6. Step 6: Final answer
    x = 142.84

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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.