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Finding the Third Proportional to 83,639 and 131,187

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Solution

The third proportional to 83,639 and 131,187 is: 205,765.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,639 : 131,187 = 131,187 : x
  2. Step 2: Convert to fraction form
    83,639/131,187 = 131,187/x
  3. Step 3: Cross multiply
    83,639x = 131,187 × 131,187
  4. Step 4: Simplify right side
    83,639x = 17,210,028,969
  5. Step 5: Solve for x
    x = 17,210,028,969/83,639
  6. Step 6: Final answer
    x = 205,765.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.