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Finding the Third Proportional to 12,198 and 16,312

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Solution

The third proportional to 12,198 and 16,312 is: 21,813.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198 : 16,312 = 16,312 : x
  2. Step 2: Convert to fraction form
    12,198/16,312 = 16,312/x
  3. Step 3: Cross multiply
    12,198x = 16,312 × 16,312
  4. Step 4: Simplify right side
    12,198x = 266,081,344
  5. Step 5: Solve for x
    x = 266,081,344/12,198
  6. Step 6: Final answer
    x = 21,813.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.