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Finding the Third Proportional to 190,170 and 398,655

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Solution

The third proportional to 190,170 and 398,655 is: 835,703.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,170 : 398,655 = 398,655 : x
  2. Step 2: Convert to fraction form
    190,170/398,655 = 398,655/x
  3. Step 3: Cross multiply
    190,170x = 398,655 × 398,655
  4. Step 4: Simplify right side
    190,170x = 158,925,809,025
  5. Step 5: Solve for x
    x = 158,925,809,025/190,170
  6. Step 6: Final answer
    x = 835,703.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.