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Finding the Third Proportional to 1,641.56 and 3,333.56

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Solution

The third proportional to 1,641.56 and 3,333.56 is: 6,769.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.56 : 3,333.56 = 3,333.56 : x
  2. Step 2: Convert to fraction form
    1,641.56/3,333.56 = 3,333.56/x
  3. Step 3: Cross multiply
    1,641.56x = 3,333.56 × 3,333.56
  4. Step 4: Simplify right side
    1,641.56x = 11,112,638.94
  5. Step 5: Solve for x
    x = 11,112,638.94/1,641.56
  6. Step 6: Final answer
    x = 6,769.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.