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Finding the Third Proportional to 51.10 and 77.64

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Solution

The third proportional to 51.10 and 77.64 is: 117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.10 : 77.64 = 77.64 : x
  2. Step 2: Convert to fraction form
    51.10/77.64 = 77.64/x
  3. Step 3: Cross multiply
    51.10x = 77.64 × 77.64
  4. Step 4: Simplify right side
    51.10x = 6,028.37
  5. Step 5: Solve for x
    x = 6,028.37/51.10
  6. Step 6: Final answer
    x = 117.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.