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Finding the Third Proportional to 13,703 and 20,557

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Solution

The third proportional to 13,703 and 20,557 is: 30,839.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703 : 20,557 = 20,557 : x
  2. Step 2: Convert to fraction form
    13,703/20,557 = 20,557/x
  3. Step 3: Cross multiply
    13,703x = 20,557 × 20,557
  4. Step 4: Simplify right side
    13,703x = 422,590,249
  5. Step 5: Solve for x
    x = 422,590,249/13,703
  6. Step 6: Final answer
    x = 30,839.25

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