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Finding the Third Proportional to 1,680.75 and 4,234.78

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Solution

The third proportional to 1,680.75 and 4,234.78 is: 10,669.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.75 : 4,234.78 = 4,234.78 : x
  2. Step 2: Convert to fraction form
    1,680.75/4,234.78 = 4,234.78/x
  3. Step 3: Cross multiply
    1,680.75x = 4,234.78 × 4,234.78
  4. Step 4: Simplify right side
    1,680.75x = 17,933,372.24
  5. Step 5: Solve for x
    x = 17,933,372.24/1,680.75
  6. Step 6: Final answer
    x = 10,669.86

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Why These Related Problems?

These problems maintain the same ratio (2.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.