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Finding the Third Proportional to 50,040 and 106,768

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Solution

The third proportional to 50,040 and 106,768 is: 227,805.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,040 : 106,768 = 106,768 : x
  2. Step 2: Convert to fraction form
    50,040/106,768 = 106,768/x
  3. Step 3: Cross multiply
    50,040x = 106,768 × 106,768
  4. Step 4: Simplify right side
    50,040x = 11,399,405,824
  5. Step 5: Solve for x
    x = 11,399,405,824/50,040
  6. Step 6: Final answer
    x = 227,805.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.