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Finding the Third Proportional to 19,201.50 and 44,480.25

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Solution

The third proportional to 19,201.50 and 44,480.25 is: 103,038.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,201.50 : 44,480.25 = 44,480.25 : x
  2. Step 2: Convert to fraction form
    19,201.50/44,480.25 = 44,480.25/x
  3. Step 3: Cross multiply
    19,201.50x = 44,480.25 × 44,480.25
  4. Step 4: Simplify right side
    19,201.50x = 1,978,492,640.06
  5. Step 5: Solve for x
    x = 1,978,492,640.06/19,201.50
  6. Step 6: Final answer
    x = 103,038.44

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.