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Finding the Third Proportional to 10,219 and 16,859

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Solution

The third proportional to 10,219 and 16,859 is: 27,813.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219 : 16,859 = 16,859 : x
  2. Step 2: Convert to fraction form
    10,219/16,859 = 16,859/x
  3. Step 3: Cross multiply
    10,219x = 16,859 × 16,859
  4. Step 4: Simplify right side
    10,219x = 284,225,881
  5. Step 5: Solve for x
    x = 284,225,881/10,219
  6. Step 6: Final answer
    x = 27,813.47

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.