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Finding the Third Proportional to 30.05 and 66.84

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Solution

The third proportional to 30.05 and 66.84 is: 148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.05 : 66.84 = 66.84 : x
  2. Step 2: Convert to fraction form
    30.05/66.84 = 66.84/x
  3. Step 3: Cross multiply
    30.05x = 66.84 × 66.84
  4. Step 4: Simplify right side
    30.05x = 4,468.09
  5. Step 5: Solve for x
    x = 4,468.09/30.05
  6. Step 6: Final answer
    x = 148.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.