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Finding the Third Proportional to 192,308 and 421,519

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Solution

The third proportional to 192,308 and 421,519 is: 923,925.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,308 : 421,519 = 421,519 : x
  2. Step 2: Convert to fraction form
    192,308/421,519 = 421,519/x
  3. Step 3: Cross multiply
    192,308x = 421,519 × 421,519
  4. Step 4: Simplify right side
    192,308x = 177,678,267,361
  5. Step 5: Solve for x
    x = 177,678,267,361/192,308
  6. Step 6: Final answer
    x = 923,925.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.