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Finding the Third Proportional to 23.98 and 51.72

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Solution

The third proportional to 23.98 and 51.72 is: 111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.98 : 51.72 = 51.72 : x
  2. Step 2: Convert to fraction form
    23.98/51.72 = 51.72/x
  3. Step 3: Cross multiply
    23.98x = 51.72 × 51.72
  4. Step 4: Simplify right side
    23.98x = 2,674.83
  5. Step 5: Solve for x
    x = 2,674.83/23.98
  6. Step 6: Final answer
    x = 111.52

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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.