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Finding the Third Proportional to 8,419.50 and 21,804.75

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Solution

The third proportional to 8,419.50 and 21,804.75 is: 56,469.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.50 : 21,804.75 = 21,804.75 : x
  2. Step 2: Convert to fraction form
    8,419.50/21,804.75 = 21,804.75/x
  3. Step 3: Cross multiply
    8,419.50x = 21,804.75 × 21,804.75
  4. Step 4: Simplify right side
    8,419.50x = 475,447,122.56
  5. Step 5: Solve for x
    x = 475,447,122.56/8,419.50
  6. Step 6: Final answer
    x = 56,469.76

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.