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Finding the Third Proportional to 9,643.22 and 20,471.06

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Solution

The third proportional to 9,643.22 and 20,471.06 is: 43,456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.22 : 20,471.06 = 20,471.06 : x
  2. Step 2: Convert to fraction form
    9,643.22/20,471.06 = 20,471.06/x
  3. Step 3: Cross multiply
    9,643.22x = 20,471.06 × 20,471.06
  4. Step 4: Simplify right side
    9,643.22x = 419,064,399.88
  5. Step 5: Solve for x
    x = 419,064,399.88/9,643.22
  6. Step 6: Final answer
    x = 43,456.90

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.