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Finding the Third Proportional to 8,394 and 12,911

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Solution

The third proportional to 8,394 and 12,911 is: 19,858.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394 : 12,911 = 12,911 : x
  2. Step 2: Convert to fraction form
    8,394/12,911 = 12,911/x
  3. Step 3: Cross multiply
    8,394x = 12,911 × 12,911
  4. Step 4: Simplify right side
    8,394x = 166,693,921
  5. Step 5: Solve for x
    x = 166,693,921/8,394
  6. Step 6: Final answer
    x = 19,858.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.