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Finding the Third Proportional to 190,072 and 408,220

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Solution

The third proportional to 190,072 and 408,220 is: 876,739.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,072 : 408,220 = 408,220 : x
  2. Step 2: Convert to fraction form
    190,072/408,220 = 408,220/x
  3. Step 3: Cross multiply
    190,072x = 408,220 × 408,220
  4. Step 4: Simplify right side
    190,072x = 166,643,568,400
  5. Step 5: Solve for x
    x = 166,643,568,400/190,072
  6. Step 6: Final answer
    x = 876,739.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.