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Finding the Third Proportional to 82,858 and 129,619

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Solution

The third proportional to 82,858 and 129,619 is: 202,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,858 : 129,619 = 129,619 : x
  2. Step 2: Convert to fraction form
    82,858/129,619 = 129,619/x
  3. Step 3: Cross multiply
    82,858x = 129,619 × 129,619
  4. Step 4: Simplify right side
    82,858x = 16,801,085,161
  5. Step 5: Solve for x
    x = 16,801,085,161/82,858
  6. Step 6: Final answer
    x = 202,769.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.