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Finding the Third Proportional to 12,438 and 18,713

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Solution

The third proportional to 12,438 and 18,713 is: 28,153.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438 : 18,713 = 18,713 : x
  2. Step 2: Convert to fraction form
    12,438/18,713 = 18,713/x
  3. Step 3: Cross multiply
    12,438x = 18,713 × 18,713
  4. Step 4: Simplify right side
    12,438x = 350,176,369
  5. Step 5: Solve for x
    x = 350,176,369/12,438
  6. Step 6: Final answer
    x = 28,153.75

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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.