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Finding the Third Proportional to 3,261 and 4,090.50

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Solution

The third proportional to 3,261 and 4,090.50 is: 5,131.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261 : 4,090.50 = 4,090.50 : x
  2. Step 2: Convert to fraction form
    3,261/4,090.50 = 4,090.50/x
  3. Step 3: Cross multiply
    3,261x = 4,090.50 × 4,090.50
  4. Step 4: Simplify right side
    3,261x = 16,732,190.25
  5. Step 5: Solve for x
    x = 16,732,190.25/3,261
  6. Step 6: Final answer
    x = 5,131.00

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.