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Finding the Third Proportional to 52,240 and 110,936

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Solution

The third proportional to 52,240 and 110,936 is: 235,581.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,240 : 110,936 = 110,936 : x
  2. Step 2: Convert to fraction form
    52,240/110,936 = 110,936/x
  3. Step 3: Cross multiply
    52,240x = 110,936 × 110,936
  4. Step 4: Simplify right side
    52,240x = 12,306,796,096
  5. Step 5: Solve for x
    x = 12,306,796,096/52,240
  6. Step 6: Final answer
    x = 235,581.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.