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Finding the Third Proportional to 2,596 and 3,783

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Solution

The third proportional to 2,596 and 3,783 is: 5,512.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596 : 3,783 = 3,783 : x
  2. Step 2: Convert to fraction form
    2,596/3,783 = 3,783/x
  3. Step 3: Cross multiply
    2,596x = 3,783 × 3,783
  4. Step 4: Simplify right side
    2,596x = 14,311,089
  5. Step 5: Solve for x
    x = 14,311,089/2,596
  6. Step 6: Final answer
    x = 5,512.75

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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.