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Finding the Third Proportional to 3,550.78 and 4,966.03

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Solution

The third proportional to 3,550.78 and 4,966.03 is: 6,945.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,550.78 : 4,966.03 = 4,966.03 : x
  2. Step 2: Convert to fraction form
    3,550.78/4,966.03 = 4,966.03/x
  3. Step 3: Cross multiply
    3,550.78x = 4,966.03 × 4,966.03
  4. Step 4: Simplify right side
    3,550.78x = 24,661,466.38
  5. Step 5: Solve for x
    x = 24,661,466.38/3,550.78
  6. Step 6: Final answer
    x = 6,945.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.