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Finding the Third Proportional to 409,144.75 and 889,110.50

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Solution

The third proportional to 409,144.75 and 889,110.50 is: 1,932,121.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,144.75 : 889,110.50 = 889,110.50 : x
  2. Step 2: Convert to fraction form
    409,144.75/889,110.50 = 889,110.50/x
  3. Step 3: Cross multiply
    409,144.75x = 889,110.50 × 889,110.50
  4. Step 4: Simplify right side
    409,144.75x = 790,517,481,210.25
  5. Step 5: Solve for x
    x = 790,517,481,210.25/409,144.75
  6. Step 6: Final answer
    x = 1,932,121.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.