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Finding the Third Proportional to 107,079 and 140,721

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Solution

The third proportional to 107,079 and 140,721 is: 184,932.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,079 : 140,721 = 140,721 : x
  2. Step 2: Convert to fraction form
    107,079/140,721 = 140,721/x
  3. Step 3: Cross multiply
    107,079x = 140,721 × 140,721
  4. Step 4: Simplify right side
    107,079x = 19,802,399,841
  5. Step 5: Solve for x
    x = 19,802,399,841/107,079
  6. Step 6: Final answer
    x = 184,932.62

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.