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Finding the Third Proportional to 39,825 and 86,894

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Solution

The third proportional to 39,825 and 86,894 is: 189,593.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,825 : 86,894 = 86,894 : x
  2. Step 2: Convert to fraction form
    39,825/86,894 = 86,894/x
  3. Step 3: Cross multiply
    39,825x = 86,894 × 86,894
  4. Step 4: Simplify right side
    39,825x = 7,550,567,236
  5. Step 5: Solve for x
    x = 7,550,567,236/39,825
  6. Step 6: Final answer
    x = 189,593.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.