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Finding the Third Proportional to 4,172.25 and 8,919.75

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Solution

The third proportional to 4,172.25 and 8,919.75 is: 19,069.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.25 : 8,919.75 = 8,919.75 : x
  2. Step 2: Convert to fraction form
    4,172.25/8,919.75 = 8,919.75/x
  3. Step 3: Cross multiply
    4,172.25x = 8,919.75 × 8,919.75
  4. Step 4: Simplify right side
    4,172.25x = 79,561,940.06
  5. Step 5: Solve for x
    x = 79,561,940.06/4,172.25
  6. Step 6: Final answer
    x = 19,069.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.