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Finding the Third Proportional to 6,289.50 and 12,984.75

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Solution

The third proportional to 6,289.50 and 12,984.75 is: 26,807.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.50 : 12,984.75 = 12,984.75 : x
  2. Step 2: Convert to fraction form
    6,289.50/12,984.75 = 12,984.75/x
  3. Step 3: Cross multiply
    6,289.50x = 12,984.75 × 12,984.75
  4. Step 4: Simplify right side
    6,289.50x = 168,603,732.56
  5. Step 5: Solve for x
    x = 168,603,732.56/6,289.50
  6. Step 6: Final answer
    x = 26,807.18

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.