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Finding the Third Proportional to 3,580 and 7,675

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Solution

The third proportional to 3,580 and 7,675 is: 16,454.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580 : 7,675 = 7,675 : x
  2. Step 2: Convert to fraction form
    3,580/7,675 = 7,675/x
  3. Step 3: Cross multiply
    3,580x = 7,675 × 7,675
  4. Step 4: Simplify right side
    3,580x = 58,905,625
  5. Step 5: Solve for x
    x = 58,905,625/3,580
  6. Step 6: Final answer
    x = 16,454.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.