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Finding the Third Proportional to 49,800 and 107,972

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Solution

The third proportional to 49,800 and 107,972 is: 234,095.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,800 : 107,972 = 107,972 : x
  2. Step 2: Convert to fraction form
    49,800/107,972 = 107,972/x
  3. Step 3: Cross multiply
    49,800x = 107,972 × 107,972
  4. Step 4: Simplify right side
    49,800x = 11,657,952,784
  5. Step 5: Solve for x
    x = 11,657,952,784/49,800
  6. Step 6: Final answer
    x = 234,095.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.