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Finding the Third Proportional to 32,721.19 and 71,236.31

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Solution

The third proportional to 32,721.19 and 71,236.31 is: 155,086.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,721.19 : 71,236.31 = 71,236.31 : x
  2. Step 2: Convert to fraction form
    32,721.19/71,236.31 = 71,236.31/x
  3. Step 3: Cross multiply
    32,721.19x = 71,236.31 × 71,236.31
  4. Step 4: Simplify right side
    32,721.19x = 5,074,612,218.60
  5. Step 5: Solve for x
    x = 5,074,612,218.60/32,721.19
  6. Step 6: Final answer
    x = 155,086.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.