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Finding the Third Proportional to 4,401.19 and 9,786.56

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Solution

The third proportional to 4,401.19 and 9,786.56 is: 21,761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,401.19 : 9,786.56 = 9,786.56 : x
  2. Step 2: Convert to fraction form
    4,401.19/9,786.56 = 9,786.56/x
  3. Step 3: Cross multiply
    4,401.19x = 9,786.56 × 9,786.56
  4. Step 4: Simplify right side
    4,401.19x = 95,776,805.57
  5. Step 5: Solve for x
    x = 95,776,805.57/4,401.19
  6. Step 6: Final answer
    x = 21,761.58

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.