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Finding the Third Proportional to 3,985.50 and 9,261.75

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Solution

The third proportional to 3,985.50 and 9,261.75 is: 21,523.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.50 : 9,261.75 = 9,261.75 : x
  2. Step 2: Convert to fraction form
    3,985.50/9,261.75 = 9,261.75/x
  3. Step 3: Cross multiply
    3,985.50x = 9,261.75 × 9,261.75
  4. Step 4: Simplify right side
    3,985.50x = 85,780,013.06
  5. Step 5: Solve for x
    x = 85,780,013.06/3,985.50
  6. Step 6: Final answer
    x = 21,523.02

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.