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Finding the Third Proportional to 100,054 and 140,721

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Solution

The third proportional to 100,054 and 140,721 is: 197,917.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,054 : 140,721 = 140,721 : x
  2. Step 2: Convert to fraction form
    100,054/140,721 = 140,721/x
  3. Step 3: Cross multiply
    100,054x = 140,721 × 140,721
  4. Step 4: Simplify right side
    100,054x = 19,802,399,841
  5. Step 5: Solve for x
    x = 19,802,399,841/100,054
  6. Step 6: Final answer
    x = 197,917.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.