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Finding the Third Proportional to 190,904 and 395,020

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Solution

The third proportional to 190,904 and 395,020 is: 817,378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,904 : 395,020 = 395,020 : x
  2. Step 2: Convert to fraction form
    190,904/395,020 = 395,020/x
  3. Step 3: Cross multiply
    190,904x = 395,020 × 395,020
  4. Step 4: Simplify right side
    190,904x = 156,040,800,400
  5. Step 5: Solve for x
    x = 156,040,800,400/190,904
  6. Step 6: Final answer
    x = 817,378.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.