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Finding the Third Proportional to 4,500 and 6,619

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Solution

The third proportional to 4,500 and 6,619 is: 9,735.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,500 : 6,619 = 6,619 : x
  2. Step 2: Convert to fraction form
    4,500/6,619 = 6,619/x
  3. Step 3: Cross multiply
    4,500x = 6,619 × 6,619
  4. Step 4: Simplify right side
    4,500x = 43,811,161
  5. Step 5: Solve for x
    x = 43,811,161/4,500
  6. Step 6: Final answer
    x = 9,735.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.