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Finding the Third Proportional to 32,486.06 and 73,401.19

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Solution

The third proportional to 32,486.06 and 73,401.19 is: 165,847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,486.06 : 73,401.19 = 73,401.19 : x
  2. Step 2: Convert to fraction form
    32,486.06/73,401.19 = 73,401.19/x
  3. Step 3: Cross multiply
    32,486.06x = 73,401.19 × 73,401.19
  4. Step 4: Simplify right side
    32,486.06x = 5,387,734,326.41
  5. Step 5: Solve for x
    x = 5,387,734,326.41/32,486.06
  6. Step 6: Final answer
    x = 165,847.56

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.