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Finding the Third Proportional to 51.18 and 110.30

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Solution

The third proportional to 51.18 and 110.30 is: 237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.18 : 110.30 = 110.30 : x
  2. Step 2: Convert to fraction form
    51.18/110.30 = 110.30/x
  3. Step 3: Cross multiply
    51.18x = 110.30 × 110.30
  4. Step 4: Simplify right side
    51.18x = 12,165.40
  5. Step 5: Solve for x
    x = 12,165.40/51.18
  6. Step 6: Final answer
    x = 237.72

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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.