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Finding the Third Proportional to 12,684 and 19,394

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Solution

The third proportional to 12,684 and 19,394 is: 29,653.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684 : 19,394 = 19,394 : x
  2. Step 2: Convert to fraction form
    12,684/19,394 = 19,394/x
  3. Step 3: Cross multiply
    12,684x = 19,394 × 19,394
  4. Step 4: Simplify right side
    12,684x = 376,127,236
  5. Step 5: Solve for x
    x = 376,127,236/12,684
  6. Step 6: Final answer
    x = 29,653.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.