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Finding the Third Proportional to 1,639.41 and 3,415.92

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Solution

The third proportional to 1,639.41 and 3,415.92 is: 7,117.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.41 : 3,415.92 = 3,415.92 : x
  2. Step 2: Convert to fraction form
    1,639.41/3,415.92 = 3,415.92/x
  3. Step 3: Cross multiply
    1,639.41x = 3,415.92 × 3,415.92
  4. Step 4: Simplify right side
    1,639.41x = 11,668,522.26
  5. Step 5: Solve for x
    x = 11,668,522.26/1,639.41
  6. Step 6: Final answer
    x = 7,117.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.