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Finding the Third Proportional to 3,531 and 7,649

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Solution

The third proportional to 3,531 and 7,649 is: 16,569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531 : 7,649 = 7,649 : x
  2. Step 2: Convert to fraction form
    3,531/7,649 = 7,649/x
  3. Step 3: Cross multiply
    3,531x = 7,649 × 7,649
  4. Step 4: Simplify right side
    3,531x = 58,507,201
  5. Step 5: Solve for x
    x = 58,507,201/3,531
  6. Step 6: Final answer
    x = 16,569.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.