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Finding the Third Proportional to 49,768 and 106,940

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Solution

The third proportional to 49,768 and 106,940 is: 229,789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,768 : 106,940 = 106,940 : x
  2. Step 2: Convert to fraction form
    49,768/106,940 = 106,940/x
  3. Step 3: Cross multiply
    49,768x = 106,940 × 106,940
  4. Step 4: Simplify right side
    49,768x = 11,436,163,600
  5. Step 5: Solve for x
    x = 11,436,163,600/49,768
  6. Step 6: Final answer
    x = 229,789.50

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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.