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Finding the Third Proportional to 2,785.50 and 6,118.88

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Solution

The third proportional to 2,785.50 and 6,118.88 is: 13,441.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.50 : 6,118.88 = 6,118.88 : x
  2. Step 2: Convert to fraction form
    2,785.50/6,118.88 = 6,118.88/x
  3. Step 3: Cross multiply
    2,785.50x = 6,118.88 × 6,118.88
  4. Step 4: Simplify right side
    2,785.50x = 37,440,631.27
  5. Step 5: Solve for x
    x = 37,440,631.27/2,785.50
  6. Step 6: Final answer
    x = 13,441.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.