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Finding the Third Proportional to 13,178 and 16,903

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Solution

The third proportional to 13,178 and 16,903 is: 21,680.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178 : 16,903 = 16,903 : x
  2. Step 2: Convert to fraction form
    13,178/16,903 = 16,903/x
  3. Step 3: Cross multiply
    13,178x = 16,903 × 16,903
  4. Step 4: Simplify right side
    13,178x = 285,711,409
  5. Step 5: Solve for x
    x = 285,711,409/13,178
  6. Step 6: Final answer
    x = 21,680.94

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.