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Finding the Third Proportional to 381,013 and 819,373

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Solution

The third proportional to 381,013 and 819,373 is: 1,762,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,013 : 819,373 = 819,373 : x
  2. Step 2: Convert to fraction form
    381,013/819,373 = 819,373/x
  3. Step 3: Cross multiply
    381,013x = 819,373 × 819,373
  4. Step 4: Simplify right side
    381,013x = 671,372,113,129
  5. Step 5: Solve for x
    x = 671,372,113,129/381,013
  6. Step 6: Final answer
    x = 1,762,071.41

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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.