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Finding the Third Proportional to 3,773 and 5,699

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Solution

The third proportional to 3,773 and 5,699 is: 8,608.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773 : 5,699 = 5,699 : x
  2. Step 2: Convert to fraction form
    3,773/5,699 = 5,699/x
  3. Step 3: Cross multiply
    3,773x = 5,699 × 5,699
  4. Step 4: Simplify right side
    3,773x = 32,478,601
  5. Step 5: Solve for x
    x = 32,478,601/3,773
  6. Step 6: Final answer
    x = 8,608.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.