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Finding the Third Proportional to 4,083.75 and 8,415.56

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Solution

The third proportional to 4,083.75 and 8,415.56 is: 17,342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.75 : 8,415.56 = 8,415.56 : x
  2. Step 2: Convert to fraction form
    4,083.75/8,415.56 = 8,415.56/x
  3. Step 3: Cross multiply
    4,083.75x = 8,415.56 × 8,415.56
  4. Step 4: Simplify right side
    4,083.75x = 70,821,692.19
  5. Step 5: Solve for x
    x = 70,821,692.19/4,083.75
  6. Step 6: Final answer
    x = 17,342.32

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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.