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Finding the Third Proportional to 16,109 and 21,235

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Solution

The third proportional to 16,109 and 21,235 is: 27,992.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,109 : 21,235 = 21,235 : x
  2. Step 2: Convert to fraction form
    16,109/21,235 = 21,235/x
  3. Step 3: Cross multiply
    16,109x = 21,235 × 21,235
  4. Step 4: Simplify right side
    16,109x = 450,925,225
  5. Step 5: Solve for x
    x = 450,925,225/16,109
  6. Step 6: Final answer
    x = 27,992.13

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.