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Finding the Third Proportional to 3,840 and 5,704

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Solution

The third proportional to 3,840 and 5,704 is: 8,472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840 : 5,704 = 5,704 : x
  2. Step 2: Convert to fraction form
    3,840/5,704 = 5,704/x
  3. Step 3: Cross multiply
    3,840x = 5,704 × 5,704
  4. Step 4: Simplify right side
    3,840x = 32,535,616
  5. Step 5: Solve for x
    x = 32,535,616/3,840
  6. Step 6: Final answer
    x = 8,472.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.