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Finding the Third Proportional to 10,897 and 19,219

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Solution

The third proportional to 10,897 and 19,219 is: 33,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897 : 19,219 = 19,219 : x
  2. Step 2: Convert to fraction form
    10,897/19,219 = 19,219/x
  3. Step 3: Cross multiply
    10,897x = 19,219 × 19,219
  4. Step 4: Simplify right side
    10,897x = 369,369,961
  5. Step 5: Solve for x
    x = 369,369,961/10,897
  6. Step 6: Final answer
    x = 33,896.48

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.