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Finding the Third Proportional to 51.81 and 110.90

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Solution

The third proportional to 51.81 and 110.90 is: 237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.81 : 110.90 = 110.90 : x
  2. Step 2: Convert to fraction form
    51.81/110.90 = 110.90/x
  3. Step 3: Cross multiply
    51.81x = 110.90 × 110.90
  4. Step 4: Simplify right side
    51.81x = 12,298.90
  5. Step 5: Solve for x
    x = 12,298.90/51.81
  6. Step 6: Final answer
    x = 237.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.