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Finding the Third Proportional to 36,639 and 81,702

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Solution

The third proportional to 36,639 and 81,702 is: 182,188.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,639 : 81,702 = 81,702 : x
  2. Step 2: Convert to fraction form
    36,639/81,702 = 81,702/x
  3. Step 3: Cross multiply
    36,639x = 81,702 × 81,702
  4. Step 4: Simplify right side
    36,639x = 6,675,216,804
  5. Step 5: Solve for x
    x = 6,675,216,804/36,639
  6. Step 6: Final answer
    x = 182,188.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.