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Finding the Third Proportional to 51.38 and 110.63

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Solution

The third proportional to 51.38 and 110.63 is: 238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.38 : 110.63 = 110.63 : x
  2. Step 2: Convert to fraction form
    51.38/110.63 = 110.63/x
  3. Step 3: Cross multiply
    51.38x = 110.63 × 110.63
  4. Step 4: Simplify right side
    51.38x = 12,237.89
  5. Step 5: Solve for x
    x = 12,237.89/51.38
  6. Step 6: Final answer
    x = 238.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.