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Finding the Third Proportional to 81,651 and 124,907

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Solution

The third proportional to 81,651 and 124,907 is: 191,078.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,651 : 124,907 = 124,907 : x
  2. Step 2: Convert to fraction form
    81,651/124,907 = 124,907/x
  3. Step 3: Cross multiply
    81,651x = 124,907 × 124,907
  4. Step 4: Simplify right side
    81,651x = 15,601,758,649
  5. Step 5: Solve for x
    x = 15,601,758,649/81,651
  6. Step 6: Final answer
    x = 191,078.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.