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Finding the Third Proportional to 8,400 and 13,952

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Solution

The third proportional to 8,400 and 13,952 is: 23,173.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400 : 13,952 = 13,952 : x
  2. Step 2: Convert to fraction form
    8,400/13,952 = 13,952/x
  3. Step 3: Cross multiply
    8,400x = 13,952 × 13,952
  4. Step 4: Simplify right side
    8,400x = 194,658,304
  5. Step 5: Solve for x
    x = 194,658,304/8,400
  6. Step 6: Final answer
    x = 23,173.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.