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Finding the Third Proportional to 51,750 and 111,276

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Solution

The third proportional to 51,750 and 111,276 is: 239,272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,750 : 111,276 = 111,276 : x
  2. Step 2: Convert to fraction form
    51,750/111,276 = 111,276/x
  3. Step 3: Cross multiply
    51,750x = 111,276 × 111,276
  4. Step 4: Simplify right side
    51,750x = 12,382,348,176
  5. Step 5: Solve for x
    x = 12,382,348,176/51,750
  6. Step 6: Final answer
    x = 239,272.43

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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.