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Finding the Third Proportional to 81,998 and 120,079

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Solution

The third proportional to 81,998 and 120,079 is: 175,845.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,998 : 120,079 = 120,079 : x
  2. Step 2: Convert to fraction form
    81,998/120,079 = 120,079/x
  3. Step 3: Cross multiply
    81,998x = 120,079 × 120,079
  4. Step 4: Simplify right side
    81,998x = 14,418,966,241
  5. Step 5: Solve for x
    x = 14,418,966,241/81,998
  6. Step 6: Final answer
    x = 175,845.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.