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Finding the Third Proportional to 379,923 and 810,693

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Solution

The third proportional to 379,923 and 810,693 is: 1,729,885.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,923 : 810,693 = 810,693 : x
  2. Step 2: Convert to fraction form
    379,923/810,693 = 810,693/x
  3. Step 3: Cross multiply
    379,923x = 810,693 × 810,693
  4. Step 4: Simplify right side
    379,923x = 657,223,140,249
  5. Step 5: Solve for x
    x = 657,223,140,249/379,923
  6. Step 6: Final answer
    x = 1,729,885.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.