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Finding the Third Proportional to 381,294 and 753,021

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Solution

The third proportional to 381,294 and 753,021 is: 1,487,148.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,294 : 753,021 = 753,021 : x
  2. Step 2: Convert to fraction form
    381,294/753,021 = 753,021/x
  3. Step 3: Cross multiply
    381,294x = 753,021 × 753,021
  4. Step 4: Simplify right side
    381,294x = 567,040,626,441
  5. Step 5: Solve for x
    x = 567,040,626,441/381,294
  6. Step 6: Final answer
    x = 1,487,148.04

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.