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Finding the Third Proportional to 1,783.90 and 3,874.39

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Solution

The third proportional to 1,783.90 and 3,874.39 is: 8,414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.90 : 3,874.39 = 3,874.39 : x
  2. Step 2: Convert to fraction form
    1,783.90/3,874.39 = 3,874.39/x
  3. Step 3: Cross multiply
    1,783.90x = 3,874.39 × 3,874.39
  4. Step 4: Simplify right side
    1,783.90x = 15,010,932.98
  5. Step 5: Solve for x
    x = 15,010,932.98/1,783.90
  6. Step 6: Final answer
    x = 8,414.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.