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Finding the Third Proportional to 2,914.50 and 6,078.75

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Solution

The third proportional to 2,914.50 and 6,078.75 is: 12,678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.50 : 6,078.75 = 6,078.75 : x
  2. Step 2: Convert to fraction form
    2,914.50/6,078.75 = 6,078.75/x
  3. Step 3: Cross multiply
    2,914.50x = 6,078.75 × 6,078.75
  4. Step 4: Simplify right side
    2,914.50x = 36,951,201.56
  5. Step 5: Solve for x
    x = 36,951,201.56/2,914.50
  6. Step 6: Final answer
    x = 12,678.40

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.