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Finding the Third Proportional to 3,534.89 and 7,620.33

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Solution

The third proportional to 3,534.89 and 7,620.33 is: 16,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.89 : 7,620.33 = 7,620.33 : x
  2. Step 2: Convert to fraction form
    3,534.89/7,620.33 = 7,620.33/x
  3. Step 3: Cross multiply
    3,534.89x = 7,620.33 × 7,620.33
  4. Step 4: Simplify right side
    3,534.89x = 58,069,400.73
  5. Step 5: Solve for x
    x = 58,069,400.73/3,534.89
  6. Step 6: Final answer
    x = 16,427.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.