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Finding the Third Proportional to 3,784.50 and 5,226.19

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Solution

The third proportional to 3,784.50 and 5,226.19 is: 7,217.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.50 : 5,226.19 = 5,226.19 : x
  2. Step 2: Convert to fraction form
    3,784.50/5,226.19 = 5,226.19/x
  3. Step 3: Cross multiply
    3,784.50x = 5,226.19 × 5,226.19
  4. Step 4: Simplify right side
    3,784.50x = 27,313,035.79
  5. Step 5: Solve for x
    x = 27,313,035.79/3,784.50
  6. Step 6: Final answer
    x = 7,217.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.