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Finding the Third Proportional to 3,847.18 and 8,309.46

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Solution

The third proportional to 3,847.18 and 8,309.46 is: 17,947.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.18 : 8,309.46 = 8,309.46 : x
  2. Step 2: Convert to fraction form
    3,847.18/8,309.46 = 8,309.46/x
  3. Step 3: Cross multiply
    3,847.18x = 8,309.46 × 8,309.46
  4. Step 4: Simplify right side
    3,847.18x = 69,047,141.07
  5. Step 5: Solve for x
    x = 69,047,141.07/3,847.18
  6. Step 6: Final answer
    x = 17,947.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.