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Finding the Third Proportional to 72,586 and 108,879

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Solution

The third proportional to 72,586 and 108,879 is: 163,318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,586 : 108,879 = 108,879 : x
  2. Step 2: Convert to fraction form
    72,586/108,879 = 108,879/x
  3. Step 3: Cross multiply
    72,586x = 108,879 × 108,879
  4. Step 4: Simplify right side
    72,586x = 11,854,636,641
  5. Step 5: Solve for x
    x = 11,854,636,641/72,586
  6. Step 6: Final answer
    x = 163,318.50

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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.