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Finding the Third Proportional to 2,669.38 and 3,991.63

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Solution

The third proportional to 2,669.38 and 3,991.63 is: 5,968.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.38 : 3,991.63 = 3,991.63 : x
  2. Step 2: Convert to fraction form
    2,669.38/3,991.63 = 3,991.63/x
  3. Step 3: Cross multiply
    2,669.38x = 3,991.63 × 3,991.63
  4. Step 4: Simplify right side
    2,669.38x = 15,933,070.14
  5. Step 5: Solve for x
    x = 15,933,070.14/2,669.38
  6. Step 6: Final answer
    x = 5,968.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.