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Finding the Third Proportional to 3,459.90 and 7,611.79

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Solution

The third proportional to 3,459.90 and 7,611.79 is: 16,745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.90 : 7,611.79 = 7,611.79 : x
  2. Step 2: Convert to fraction form
    3,459.90/7,611.79 = 7,611.79/x
  3. Step 3: Cross multiply
    3,459.90x = 7,611.79 × 7,611.79
  4. Step 4: Simplify right side
    3,459.90x = 57,939,273.26
  5. Step 5: Solve for x
    x = 57,939,273.26/3,459.90
  6. Step 6: Final answer
    x = 16,745.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.