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Finding the Third Proportional to 9,682.03 and 10,411.03

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Solution

The third proportional to 9,682.03 and 10,411.03 is: 11,194.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.03 : 10,411.03 = 10,411.03 : x
  2. Step 2: Convert to fraction form
    9,682.03/10,411.03 = 10,411.03/x
  3. Step 3: Cross multiply
    9,682.03x = 10,411.03 × 10,411.03
  4. Step 4: Simplify right side
    9,682.03x = 108,389,571.69
  5. Step 5: Solve for x
    x = 108,389,571.69/9,682.03
  6. Step 6: Final answer
    x = 11,194.92

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.