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Finding the Third Proportional to 2,682.81 and 3,907.62

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Solution

The third proportional to 2,682.81 and 3,907.62 is: 5,691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.81 : 3,907.62 = 3,907.62 : x
  2. Step 2: Convert to fraction form
    2,682.81/3,907.62 = 3,907.62/x
  3. Step 3: Cross multiply
    2,682.81x = 3,907.62 × 3,907.62
  4. Step 4: Simplify right side
    2,682.81x = 15,269,472.08
  5. Step 5: Solve for x
    x = 15,269,472.08/2,682.81
  6. Step 6: Final answer
    x = 5,691.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.