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Finding the Third Proportional to 30.94 and 67.64

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Solution

The third proportional to 30.94 and 67.64 is: 147.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.94 : 67.64 = 67.64 : x
  2. Step 2: Convert to fraction form
    30.94/67.64 = 67.64/x
  3. Step 3: Cross multiply
    30.94x = 67.64 × 67.64
  4. Step 4: Simplify right side
    30.94x = 4,575.25
  5. Step 5: Solve for x
    x = 4,575.25/30.94
  6. Step 6: Final answer
    x = 147.89

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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.