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Finding the Third Proportional to 3,840 and 6,424

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Solution

The third proportional to 3,840 and 6,424 is: 10,746.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840 : 6,424 = 6,424 : x
  2. Step 2: Convert to fraction form
    3,840/6,424 = 6,424/x
  3. Step 3: Cross multiply
    3,840x = 6,424 × 6,424
  4. Step 4: Simplify right side
    3,840x = 41,267,776
  5. Step 5: Solve for x
    x = 41,267,776/3,840
  6. Step 6: Final answer
    x = 10,746.82

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.