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Finding the Third Proportional to 30.56 and 74.91

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Solution

The third proportional to 30.56 and 74.91 is: 183.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.56 : 74.91 = 74.91 : x
  2. Step 2: Convert to fraction form
    30.56/74.91 = 74.91/x
  3. Step 3: Cross multiply
    30.56x = 74.91 × 74.91
  4. Step 4: Simplify right side
    30.56x = 5,610.95
  5. Step 5: Solve for x
    x = 5,610.95/30.56
  6. Step 6: Final answer
    x = 183.59

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.