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Finding the Third Proportional to 2,550.75 and 3,730.88

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Solution

The third proportional to 2,550.75 and 3,730.88 is: 5,456.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.75 : 3,730.88 = 3,730.88 : x
  2. Step 2: Convert to fraction form
    2,550.75/3,730.88 = 3,730.88/x
  3. Step 3: Cross multiply
    2,550.75x = 3,730.88 × 3,730.88
  4. Step 4: Simplify right side
    2,550.75x = 13,919,428.27
  5. Step 5: Solve for x
    x = 13,919,428.27/2,550.75
  6. Step 6: Final answer
    x = 5,456.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.