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Finding the Third Proportional to 2,669.63 and 3,989.67

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Solution

The third proportional to 2,669.63 and 3,989.67 is: 5,962.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.63 : 3,989.67 = 3,989.67 : x
  2. Step 2: Convert to fraction form
    2,669.63/3,989.67 = 3,989.67/x
  3. Step 3: Cross multiply
    2,669.63x = 3,989.67 × 3,989.67
  4. Step 4: Simplify right side
    2,669.63x = 15,917,481.67
  5. Step 5: Solve for x
    x = 15,917,481.67/2,669.63
  6. Step 6: Final answer
    x = 5,962.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.