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Finding the Third Proportional to 51,278 and 107,739

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Solution

The third proportional to 51,278 and 107,739 is: 226,367.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,278 : 107,739 = 107,739 : x
  2. Step 2: Convert to fraction form
    51,278/107,739 = 107,739/x
  3. Step 3: Cross multiply
    51,278x = 107,739 × 107,739
  4. Step 4: Simplify right side
    51,278x = 11,607,692,121
  5. Step 5: Solve for x
    x = 11,607,692,121/51,278
  6. Step 6: Final answer
    x = 226,367.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.