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Finding the Third Proportional to 30.75 and 67.56

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Solution

The third proportional to 30.75 and 67.56 is: 148.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.75 : 67.56 = 67.56 : x
  2. Step 2: Convert to fraction form
    30.75/67.56 = 67.56/x
  3. Step 3: Cross multiply
    30.75x = 67.56 × 67.56
  4. Step 4: Simplify right side
    30.75x = 4,564.69
  5. Step 5: Solve for x
    x = 4,564.69/30.75
  6. Step 6: Final answer
    x = 148.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.