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Finding the Third Proportional to 3,550.71 and 5,326.07

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Solution

The third proportional to 3,550.71 and 5,326.07 is: 7,989.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,550.71 : 5,326.07 = 5,326.07 : x
  2. Step 2: Convert to fraction form
    3,550.71/5,326.07 = 5,326.07/x
  3. Step 3: Cross multiply
    3,550.71x = 5,326.07 × 5,326.07
  4. Step 4: Simplify right side
    3,550.71x = 28,366,983.36
  5. Step 5: Solve for x
    x = 28,366,983.36/3,550.71
  6. Step 6: Final answer
    x = 7,989.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.