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Finding the Third Proportional to 86,804 and 132,766

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Solution

The third proportional to 86,804 and 132,766 is: 203,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,804 : 132,766 = 132,766 : x
  2. Step 2: Convert to fraction form
    86,804/132,766 = 132,766/x
  3. Step 3: Cross multiply
    86,804x = 132,766 × 132,766
  4. Step 4: Simplify right side
    86,804x = 17,626,810,756
  5. Step 5: Solve for x
    x = 17,626,810,756/86,804
  6. Step 6: Final answer
    x = 203,064.50

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.