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Finding the Third Proportional to 15,322.50 and 21,099.75

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Solution

The third proportional to 15,322.50 and 21,099.75 is: 29,055.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,322.50 : 21,099.75 = 21,099.75 : x
  2. Step 2: Convert to fraction form
    15,322.50/21,099.75 = 21,099.75/x
  3. Step 3: Cross multiply
    15,322.50x = 21,099.75 × 21,099.75
  4. Step 4: Simplify right side
    15,322.50x = 445,199,450.06
  5. Step 5: Solve for x
    x = 445,199,450.06/15,322.50
  6. Step 6: Final answer
    x = 29,055.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.