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Finding the Third Proportional to 3,780.56 and 8,138.06

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Solution

The third proportional to 3,780.56 and 8,138.06 is: 17,518.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.56 : 8,138.06 = 8,138.06 : x
  2. Step 2: Convert to fraction form
    3,780.56/8,138.06 = 8,138.06/x
  3. Step 3: Cross multiply
    3,780.56x = 8,138.06 × 8,138.06
  4. Step 4: Simplify right side
    3,780.56x = 66,228,061.25
  5. Step 5: Solve for x
    x = 66,228,061.25/3,780.56
  6. Step 6: Final answer
    x = 17,518.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.