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Finding the Third Proportional to 51 and 112.31

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Solution

The third proportional to 51 and 112.31 is: 247.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51 : 112.31 = 112.31 : x
  2. Step 2: Convert to fraction form
    51/112.31 = 112.31/x
  3. Step 3: Cross multiply
    51x = 112.31 × 112.31
  4. Step 4: Simplify right side
    51x = 12,614.10
  5. Step 5: Solve for x
    x = 12,614.10/51
  6. Step 6: Final answer
    x = 247.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.