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Finding the Third Proportional to 3,005 and 3,909.50

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Solution

The third proportional to 3,005 and 3,909.50 is: 5,086.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005 : 3,909.50 = 3,909.50 : x
  2. Step 2: Convert to fraction form
    3,005/3,909.50 = 3,909.50/x
  3. Step 3: Cross multiply
    3,005x = 3,909.50 × 3,909.50
  4. Step 4: Simplify right side
    3,005x = 15,284,190.25
  5. Step 5: Solve for x
    x = 15,284,190.25/3,005
  6. Step 6: Final answer
    x = 5,086.25

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.