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Finding the Third Proportional to 8,400 and 18,848

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Solution

The third proportional to 8,400 and 18,848 is: 42,291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400 : 18,848 = 18,848 : x
  2. Step 2: Convert to fraction form
    8,400/18,848 = 18,848/x
  3. Step 3: Cross multiply
    8,400x = 18,848 × 18,848
  4. Step 4: Simplify right side
    8,400x = 355,247,104
  5. Step 5: Solve for x
    x = 355,247,104/8,400
  6. Step 6: Final answer
    x = 42,291.32

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.