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Finding the Third Proportional to 10,936 and 16,497

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Solution

The third proportional to 10,936 and 16,497 is: 24,885.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,936 : 16,497 = 16,497 : x
  2. Step 2: Convert to fraction form
    10,936/16,497 = 16,497/x
  3. Step 3: Cross multiply
    10,936x = 16,497 × 16,497
  4. Step 4: Simplify right side
    10,936x = 272,151,009
  5. Step 5: Solve for x
    x = 272,151,009/10,936
  6. Step 6: Final answer
    x = 24,885.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.