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Finding the Third Proportional to 190,718 and 419,522

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Solution

The third proportional to 190,718 and 419,522 is: 922,821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,718 : 419,522 = 419,522 : x
  2. Step 2: Convert to fraction form
    190,718/419,522 = 419,522/x
  3. Step 3: Cross multiply
    190,718x = 419,522 × 419,522
  4. Step 4: Simplify right side
    190,718x = 175,998,708,484
  5. Step 5: Solve for x
    x = 175,998,708,484/190,718
  6. Step 6: Final answer
    x = 922,821.70

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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.