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Finding the Third Proportional to 81,379 and 121,989

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Solution

The third proportional to 81,379 and 121,989 is: 182,864.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,379 : 121,989 = 121,989 : x
  2. Step 2: Convert to fraction form
    81,379/121,989 = 121,989/x
  3. Step 3: Cross multiply
    81,379x = 121,989 × 121,989
  4. Step 4: Simplify right side
    81,379x = 14,881,316,121
  5. Step 5: Solve for x
    x = 14,881,316,121/81,379
  6. Step 6: Final answer
    x = 182,864.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.