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Finding the Third Proportional to 9,957 and 13,956

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Solution

The third proportional to 9,957 and 13,956 is: 19,561.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957 : 13,956 = 13,956 : x
  2. Step 2: Convert to fraction form
    9,957/13,956 = 13,956/x
  3. Step 3: Cross multiply
    9,957x = 13,956 × 13,956
  4. Step 4: Simplify right side
    9,957x = 194,769,936
  5. Step 5: Solve for x
    x = 194,769,936/9,957
  6. Step 6: Final answer
    x = 19,561.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.