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Finding the Third Proportional to 99,983 and 140,619

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Solution

The third proportional to 99,983 and 140,619 is: 197,770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,983 : 140,619 = 140,619 : x
  2. Step 2: Convert to fraction form
    99,983/140,619 = 140,619/x
  3. Step 3: Cross multiply
    99,983x = 140,619 × 140,619
  4. Step 4: Simplify right side
    99,983x = 19,773,703,161
  5. Step 5: Solve for x
    x = 19,773,703,161/99,983
  6. Step 6: Final answer
    x = 197,770.65

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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.