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Finding the Third Proportional to 9,912.38 and 21,372.19

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Solution

The third proportional to 9,912.38 and 21,372.19 is: 46,080.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.38 : 21,372.19 = 21,372.19 : x
  2. Step 2: Convert to fraction form
    9,912.38/21,372.19 = 21,372.19/x
  3. Step 3: Cross multiply
    9,912.38x = 21,372.19 × 21,372.19
  4. Step 4: Simplify right side
    9,912.38x = 456,770,398.54
  5. Step 5: Solve for x
    x = 456,770,398.54/9,912.38
  6. Step 6: Final answer
    x = 46,080.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.