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Finding the Third Proportional to 39,116 and 82,120

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Solution

The third proportional to 39,116 and 82,120 is: 172,402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,116 : 82,120 = 82,120 : x
  2. Step 2: Convert to fraction form
    39,116/82,120 = 82,120/x
  3. Step 3: Cross multiply
    39,116x = 82,120 × 82,120
  4. Step 4: Simplify right side
    39,116x = 6,743,694,400
  5. Step 5: Solve for x
    x = 6,743,694,400/39,116
  6. Step 6: Final answer
    x = 172,402.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.