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Finding the Third Proportional to 3,840 and 8,328

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Solution

The third proportional to 3,840 and 8,328 is: 18,061.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840 : 8,328 = 8,328 : x
  2. Step 2: Convert to fraction form
    3,840/8,328 = 8,328/x
  3. Step 3: Cross multiply
    3,840x = 8,328 × 8,328
  4. Step 4: Simplify right side
    3,840x = 69,355,584
  5. Step 5: Solve for x
    x = 69,355,584/3,840
  6. Step 6: Final answer
    x = 18,061.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.