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Finding the Third Proportional to 190,794 and 419,640

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Solution

The third proportional to 190,794 and 419,640 is: 922,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,794 : 419,640 = 419,640 : x
  2. Step 2: Convert to fraction form
    190,794/419,640 = 419,640/x
  3. Step 3: Cross multiply
    190,794x = 419,640 × 419,640
  4. Step 4: Simplify right side
    190,794x = 176,097,729,600
  5. Step 5: Solve for x
    x = 176,097,729,600/190,794
  6. Step 6: Final answer
    x = 922,973.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.