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Finding the Third Proportional to 39,687 and 82,113

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Solution

The third proportional to 39,687 and 82,113 is: 169,893.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,687 : 82,113 = 82,113 : x
  2. Step 2: Convert to fraction form
    39,687/82,113 = 82,113/x
  3. Step 3: Cross multiply
    39,687x = 82,113 × 82,113
  4. Step 4: Simplify right side
    39,687x = 6,742,544,769
  5. Step 5: Solve for x
    x = 6,742,544,769/39,687
  6. Step 6: Final answer
    x = 169,893.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.