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Finding the Third Proportional to 9,576 and 13,619

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Solution

The third proportional to 9,576 and 13,619 is: 19,368.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576 : 13,619 = 13,619 : x
  2. Step 2: Convert to fraction form
    9,576/13,619 = 13,619/x
  3. Step 3: Cross multiply
    9,576x = 13,619 × 13,619
  4. Step 4: Simplify right side
    9,576x = 185,477,161
  5. Step 5: Solve for x
    x = 185,477,161/9,576
  6. Step 6: Final answer
    x = 19,368.96

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.