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Finding the Third Proportional to 190,172 and 398,659

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Solution

The third proportional to 190,172 and 398,659 is: 835,711.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,172 : 398,659 = 398,659 : x
  2. Step 2: Convert to fraction form
    190,172/398,659 = 398,659/x
  3. Step 3: Cross multiply
    190,172x = 398,659 × 398,659
  4. Step 4: Simplify right side
    190,172x = 158,928,998,281
  5. Step 5: Solve for x
    x = 158,928,998,281/190,172
  6. Step 6: Final answer
    x = 835,711.87

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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.