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Finding the Third Proportional to 3,077.50 and 7,225

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Solution

The third proportional to 3,077.50 and 7,225 is: 16,962.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.50 : 7,225 = 7,225 : x
  2. Step 2: Convert to fraction form
    3,077.50/7,225 = 7,225/x
  3. Step 3: Cross multiply
    3,077.50x = 7,225 × 7,225
  4. Step 4: Simplify right side
    3,077.50x = 52,200,625
  5. Step 5: Solve for x
    x = 52,200,625/3,077.50
  6. Step 6: Final answer
    x = 16,962.02

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.