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Finding the Third Proportional to 49,912 and 109,220

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Solution

The third proportional to 49,912 and 109,220 is: 239,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,912 : 109,220 = 109,220 : x
  2. Step 2: Convert to fraction form
    49,912/109,220 = 109,220/x
  3. Step 3: Cross multiply
    49,912x = 109,220 × 109,220
  4. Step 4: Simplify right side
    49,912x = 11,929,008,400
  5. Step 5: Solve for x
    x = 11,929,008,400/49,912
  6. Step 6: Final answer
    x = 239,000.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.