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Finding the Third Proportional to 3,327 and 5,461.50

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Solution

The third proportional to 3,327 and 5,461.50 is: 8,965.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,327 : 5,461.50 = 5,461.50 : x
  2. Step 2: Convert to fraction form
    3,327/5,461.50 = 5,461.50/x
  3. Step 3: Cross multiply
    3,327x = 5,461.50 × 5,461.50
  4. Step 4: Simplify right side
    3,327x = 29,827,982.25
  5. Step 5: Solve for x
    x = 29,827,982.25/3,327
  6. Step 6: Final answer
    x = 8,965.43

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.