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Finding the Third Proportional to 39,921 and 87,135

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Solution

The third proportional to 39,921 and 87,135 is: 190,188.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,921 : 87,135 = 87,135 : x
  2. Step 2: Convert to fraction form
    39,921/87,135 = 87,135/x
  3. Step 3: Cross multiply
    39,921x = 87,135 × 87,135
  4. Step 4: Simplify right side
    39,921x = 7,592,508,225
  5. Step 5: Solve for x
    x = 7,592,508,225/39,921
  6. Step 6: Final answer
    x = 190,188.33

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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.