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Finding the Third Proportional to 40,842 and 87,906

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Solution

The third proportional to 40,842 and 87,906 is: 189,203.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,842 : 87,906 = 87,906 : x
  2. Step 2: Convert to fraction form
    40,842/87,906 = 87,906/x
  3. Step 3: Cross multiply
    40,842x = 87,906 × 87,906
  4. Step 4: Simplify right side
    40,842x = 7,727,464,836
  5. Step 5: Solve for x
    x = 7,727,464,836/40,842
  6. Step 6: Final answer
    x = 189,203.88

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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.