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Finding the Third Proportional to 10,394 and 13,645

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Solution

The third proportional to 10,394 and 13,645 is: 17,912.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394 : 13,645 = 13,645 : x
  2. Step 2: Convert to fraction form
    10,394/13,645 = 13,645/x
  3. Step 3: Cross multiply
    10,394x = 13,645 × 13,645
  4. Step 4: Simplify right side
    10,394x = 186,186,025
  5. Step 5: Solve for x
    x = 186,186,025/10,394
  6. Step 6: Final answer
    x = 17,912.84

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.