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Finding the Third Proportional to 388,210 and 823,074

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Solution

The third proportional to 388,210 and 823,074 is: 1,745,062.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,210 : 823,074 = 823,074 : x
  2. Step 2: Convert to fraction form
    388,210/823,074 = 823,074/x
  3. Step 3: Cross multiply
    388,210x = 823,074 × 823,074
  4. Step 4: Simplify right side
    388,210x = 677,450,809,476
  5. Step 5: Solve for x
    x = 677,450,809,476/388,210
  6. Step 6: Final answer
    x = 1,745,062.75

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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.