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Finding the Third Proportional to 12,644 and 18,936

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Solution

The third proportional to 12,644 and 18,936 is: 28,359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644 : 18,936 = 18,936 : x
  2. Step 2: Convert to fraction form
    12,644/18,936 = 18,936/x
  3. Step 3: Cross multiply
    12,644x = 18,936 × 18,936
  4. Step 4: Simplify right side
    12,644x = 358,572,096
  5. Step 5: Solve for x
    x = 358,572,096/12,644
  6. Step 6: Final answer
    x = 28,359.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.