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Finding the Third Proportional to 39,112 and 82,112

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Solution

The third proportional to 39,112 and 82,112 is: 172,386.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,112 : 82,112 = 82,112 : x
  2. Step 2: Convert to fraction form
    39,112/82,112 = 82,112/x
  3. Step 3: Cross multiply
    39,112x = 82,112 × 82,112
  4. Step 4: Simplify right side
    39,112x = 6,742,380,544
  5. Step 5: Solve for x
    x = 6,742,380,544/39,112
  6. Step 6: Final answer
    x = 172,386.49

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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.