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Finding the Third Proportional to 381,806 and 790,036

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Solution

The third proportional to 381,806 and 790,036 is: 1,634,748.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,806 : 790,036 = 790,036 : x
  2. Step 2: Convert to fraction form
    381,806/790,036 = 790,036/x
  3. Step 3: Cross multiply
    381,806x = 790,036 × 790,036
  4. Step 4: Simplify right side
    381,806x = 624,156,881,296
  5. Step 5: Solve for x
    x = 624,156,881,296/381,806
  6. Step 6: Final answer
    x = 1,634,748.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.