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Finding the Third Proportional to 1,628.86 and 3,318.05

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Solution

The third proportional to 1,628.86 and 3,318.05 is: 6,758.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.86 : 3,318.05 = 3,318.05 : x
  2. Step 2: Convert to fraction form
    1,628.86/3,318.05 = 3,318.05/x
  3. Step 3: Cross multiply
    1,628.86x = 3,318.05 × 3,318.05
  4. Step 4: Simplify right side
    1,628.86x = 11,009,435.06
  5. Step 5: Solve for x
    x = 11,009,435.06/1,628.86
  6. Step 6: Final answer
    x = 6,758.98

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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.