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Finding the Third Proportional to 81,366 and 121,617

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Solution

The third proportional to 81,366 and 121,617 is: 181,779.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,366 : 121,617 = 121,617 : x
  2. Step 2: Convert to fraction form
    81,366/121,617 = 121,617/x
  3. Step 3: Cross multiply
    81,366x = 121,617 × 121,617
  4. Step 4: Simplify right side
    81,366x = 14,790,694,689
  5. Step 5: Solve for x
    x = 14,790,694,689/81,366
  6. Step 6: Final answer
    x = 181,779.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.