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Finding the Third Proportional to 2,850.19 and 6,064.88

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Solution

The third proportional to 2,850.19 and 6,064.88 is: 12,905.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.19 : 6,064.88 = 6,064.88 : x
  2. Step 2: Convert to fraction form
    2,850.19/6,064.88 = 6,064.88/x
  3. Step 3: Cross multiply
    2,850.19x = 6,064.88 × 6,064.88
  4. Step 4: Simplify right side
    2,850.19x = 36,782,708.77
  5. Step 5: Solve for x
    x = 36,782,708.77/2,850.19
  6. Step 6: Final answer
    x = 12,905.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.