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Finding the Third Proportional to 10,406 and 18,137

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Solution

The third proportional to 10,406 and 18,137 is: 31,611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406 : 18,137 = 18,137 : x
  2. Step 2: Convert to fraction form
    10,406/18,137 = 18,137/x
  3. Step 3: Cross multiply
    10,406x = 18,137 × 18,137
  4. Step 4: Simplify right side
    10,406x = 328,950,769
  5. Step 5: Solve for x
    x = 328,950,769/10,406
  6. Step 6: Final answer
    x = 31,611.64

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.