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Finding the Third Proportional to 3,744.56 and 8,904.09

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Solution

The third proportional to 3,744.56 and 8,904.09 is: 21,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.56 : 8,904.09 = 8,904.09 : x
  2. Step 2: Convert to fraction form
    3,744.56/8,904.09 = 8,904.09/x
  3. Step 3: Cross multiply
    3,744.56x = 8,904.09 × 8,904.09
  4. Step 4: Simplify right side
    3,744.56x = 79,282,885.51
  5. Step 5: Solve for x
    x = 79,282,885.51/3,744.56
  6. Step 6: Final answer
    x = 21,172.80

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.