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Finding the Third Proportional to 190,273 and 405,879

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Solution

The third proportional to 190,273 and 405,879 is: 865,796.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,273 : 405,879 = 405,879 : x
  2. Step 2: Convert to fraction form
    190,273/405,879 = 405,879/x
  3. Step 3: Cross multiply
    190,273x = 405,879 × 405,879
  4. Step 4: Simplify right side
    190,273x = 164,737,762,641
  5. Step 5: Solve for x
    x = 164,737,762,641/190,273
  6. Step 6: Final answer
    x = 865,796.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.