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Finding the Third Proportional to 9,447.10 and 14,151.43

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Solution

The third proportional to 9,447.10 and 14,151.43 is: 21,198.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.10 : 14,151.43 = 14,151.43 : x
  2. Step 2: Convert to fraction form
    9,447.10/14,151.43 = 14,151.43/x
  3. Step 3: Cross multiply
    9,447.10x = 14,151.43 × 14,151.43
  4. Step 4: Simplify right side
    9,447.10x = 200,262,906.92
  5. Step 5: Solve for x
    x = 200,262,906.92/9,447.10
  6. Step 6: Final answer
    x = 21,198.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.