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Finding the Third Proportional to 1,687.92 and 3,442.92

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Solution

The third proportional to 1,687.92 and 3,442.92 is: 7,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.92 : 3,442.92 = 3,442.92 : x
  2. Step 2: Convert to fraction form
    1,687.92/3,442.92 = 3,442.92/x
  3. Step 3: Cross multiply
    1,687.92x = 3,442.92 × 3,442.92
  4. Step 4: Simplify right side
    1,687.92x = 11,853,711.04
  5. Step 5: Solve for x
    x = 11,853,711.04/1,687.92
  6. Step 6: Final answer
    x = 7,022.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.