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Finding the Third Proportional to 2,409 and 3,765

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Solution

The third proportional to 2,409 and 3,765 is: 5,884.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409 : 3,765 = 3,765 : x
  2. Step 2: Convert to fraction form
    2,409/3,765 = 3,765/x
  3. Step 3: Cross multiply
    2,409x = 3,765 × 3,765
  4. Step 4: Simplify right side
    2,409x = 14,175,225
  5. Step 5: Solve for x
    x = 14,175,225/2,409
  6. Step 6: Final answer
    x = 5,884.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.