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Finding the Third Proportional to 192,873 and 421,374

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Solution

The third proportional to 192,873 and 421,374 is: 920,585.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,873 : 421,374 = 421,374 : x
  2. Step 2: Convert to fraction form
    192,873/421,374 = 421,374/x
  3. Step 3: Cross multiply
    192,873x = 421,374 × 421,374
  4. Step 4: Simplify right side
    192,873x = 177,556,047,876
  5. Step 5: Solve for x
    x = 177,556,047,876/192,873
  6. Step 6: Final answer
    x = 920,585.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.