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Finding the Third Proportional to 9,750 and 13,893

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Solution

The third proportional to 9,750 and 13,893 is: 19,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750 : 13,893 = 13,893 : x
  2. Step 2: Convert to fraction form
    9,750/13,893 = 13,893/x
  3. Step 3: Cross multiply
    9,750x = 13,893 × 13,893
  4. Step 4: Simplify right side
    9,750x = 193,015,449
  5. Step 5: Solve for x
    x = 193,015,449/9,750
  6. Step 6: Final answer
    x = 19,796.46

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.