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Finding the Third Proportional to 51.28 and 74.91

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Solution

The third proportional to 51.28 and 74.91 is: 109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.28 : 74.91 = 74.91 : x
  2. Step 2: Convert to fraction form
    51.28/74.91 = 74.91/x
  3. Step 3: Cross multiply
    51.28x = 74.91 × 74.91
  4. Step 4: Simplify right side
    51.28x = 5,610.95
  5. Step 5: Solve for x
    x = 5,610.95/51.28
  6. Step 6: Final answer
    x = 109.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.