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Finding the Third Proportional to 10,194 and 14,373

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Solution

The third proportional to 10,194 and 14,373 is: 20,265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194 : 14,373 = 14,373 : x
  2. Step 2: Convert to fraction form
    10,194/14,373 = 14,373/x
  3. Step 3: Cross multiply
    10,194x = 14,373 × 14,373
  4. Step 4: Simplify right side
    10,194x = 206,583,129
  5. Step 5: Solve for x
    x = 206,583,129/10,194
  6. Step 6: Final answer
    x = 20,265.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.