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Finding the Third Proportional to 13,653 and 20,605

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Solution

The third proportional to 13,653 and 20,605 is: 31,096.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653 : 20,605 = 20,605 : x
  2. Step 2: Convert to fraction form
    13,653/20,605 = 20,605/x
  3. Step 3: Cross multiply
    13,653x = 20,605 × 20,605
  4. Step 4: Simplify right side
    13,653x = 424,566,025
  5. Step 5: Solve for x
    x = 424,566,025/13,653
  6. Step 6: Final answer
    x = 31,096.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.