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Finding the Third Proportional to 190,070 and 408,218

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Solution

The third proportional to 190,070 and 408,218 is: 876,739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,070 : 408,218 = 408,218 : x
  2. Step 2: Convert to fraction form
    190,070/408,218 = 408,218/x
  3. Step 3: Cross multiply
    190,070x = 408,218 × 408,218
  4. Step 4: Simplify right side
    190,070x = 166,641,935,524
  5. Step 5: Solve for x
    x = 166,641,935,524/190,070
  6. Step 6: Final answer
    x = 876,739.81

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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.