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Finding the Third Proportional to 12,678 and 18,633

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Solution

The third proportional to 12,678 and 18,633 is: 27,385.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678 : 18,633 = 18,633 : x
  2. Step 2: Convert to fraction form
    12,678/18,633 = 18,633/x
  3. Step 3: Cross multiply
    12,678x = 18,633 × 18,633
  4. Step 4: Simplify right side
    12,678x = 347,188,689
  5. Step 5: Solve for x
    x = 347,188,689/12,678
  6. Step 6: Final answer
    x = 27,385.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.