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Finding the Third Proportional to 1,639.54 and 3,539.64

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Solution

The third proportional to 1,639.54 and 3,539.64 is: 7,641.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639.54 : 3,539.64 = 3,539.64 : x
  2. Step 2: Convert to fraction form
    1,639.54/3,539.64 = 3,539.64/x
  3. Step 3: Cross multiply
    1,639.54x = 3,539.64 × 3,539.64
  4. Step 4: Simplify right side
    1,639.54x = 12,529,028.10
  5. Step 5: Solve for x
    x = 12,529,028.10/1,639.54
  6. Step 6: Final answer
    x = 7,641.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.