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Finding the Third Proportional to 3,849.19 and 8,989.31

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Solution

The third proportional to 3,849.19 and 8,989.31 is: 20,993.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.19 : 8,989.31 = 8,989.31 : x
  2. Step 2: Convert to fraction form
    3,849.19/8,989.31 = 8,989.31/x
  3. Step 3: Cross multiply
    3,849.19x = 8,989.31 × 8,989.31
  4. Step 4: Simplify right side
    3,849.19x = 80,807,739.22
  5. Step 5: Solve for x
    x = 80,807,739.22/3,849.19
  6. Step 6: Final answer
    x = 20,993.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.