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Finding the Third Proportional to 4,120.50 and 8,475

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Solution

The third proportional to 4,120.50 and 8,475 is: 17,431.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.50 : 8,475 = 8,475 : x
  2. Step 2: Convert to fraction form
    4,120.50/8,475 = 8,475/x
  3. Step 3: Cross multiply
    4,120.50x = 8,475 × 8,475
  4. Step 4: Simplify right side
    4,120.50x = 71,825,625
  5. Step 5: Solve for x
    x = 71,825,625/4,120.50
  6. Step 6: Final answer
    x = 17,431.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.