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Finding the Third Proportional to 1,720.69 and 3,783.94

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Solution

The third proportional to 1,720.69 and 3,783.94 is: 8,321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.69 : 3,783.94 = 3,783.94 : x
  2. Step 2: Convert to fraction form
    1,720.69/3,783.94 = 3,783.94/x
  3. Step 3: Cross multiply
    1,720.69x = 3,783.94 × 3,783.94
  4. Step 4: Simplify right side
    1,720.69x = 14,318,183.00
  5. Step 5: Solve for x
    x = 14,318,183.00/1,720.69
  6. Step 6: Final answer
    x = 8,321.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.