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Finding the Third Proportional to 51.08 and 110.35

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Solution

The third proportional to 51.08 and 110.35 is: 238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.08 : 110.35 = 110.35 : x
  2. Step 2: Convert to fraction form
    51.08/110.35 = 110.35/x
  3. Step 3: Cross multiply
    51.08x = 110.35 × 110.35
  4. Step 4: Simplify right side
    51.08x = 12,176.39
  5. Step 5: Solve for x
    x = 12,176.39/51.08
  6. Step 6: Final answer
    x = 238.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.