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Finding the Third Proportional to 388,231 and 823,112

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Solution

The third proportional to 388,231 and 823,112 is: 1,745,129.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,231 : 823,112 = 823,112 : x
  2. Step 2: Convert to fraction form
    388,231/823,112 = 823,112/x
  3. Step 3: Cross multiply
    388,231x = 823,112 × 823,112
  4. Step 4: Simplify right side
    388,231x = 677,513,364,544
  5. Step 5: Solve for x
    x = 677,513,364,544/388,231
  6. Step 6: Final answer
    x = 1,745,129.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.