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Finding the Third Proportional to 42,669 and 91,879

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Solution

The third proportional to 42,669 and 91,879 is: 197,842.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,669 : 91,879 = 91,879 : x
  2. Step 2: Convert to fraction form
    42,669/91,879 = 91,879/x
  3. Step 3: Cross multiply
    42,669x = 91,879 × 91,879
  4. Step 4: Simplify right side
    42,669x = 8,441,750,641
  5. Step 5: Solve for x
    x = 8,441,750,641/42,669
  6. Step 6: Final answer
    x = 197,842.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.