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Finding the Third Proportional to 13,649 and 17,557

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Solution

The third proportional to 13,649 and 17,557 is: 22,583.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649 : 17,557 = 17,557 : x
  2. Step 2: Convert to fraction form
    13,649/17,557 = 17,557/x
  3. Step 3: Cross multiply
    13,649x = 17,557 × 17,557
  4. Step 4: Simplify right side
    13,649x = 308,248,249
  5. Step 5: Solve for x
    x = 308,248,249/13,649
  6. Step 6: Final answer
    x = 22,583.94

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.