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Finding the Third Proportional to 389,210 and 844,858

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Solution

The third proportional to 389,210 and 844,858 is: 1,833,932.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,210 : 844,858 = 844,858 : x
  2. Step 2: Convert to fraction form
    389,210/844,858 = 844,858/x
  3. Step 3: Cross multiply
    389,210x = 844,858 × 844,858
  4. Step 4: Simplify right side
    389,210x = 713,785,040,164
  5. Step 5: Solve for x
    x = 713,785,040,164/389,210
  6. Step 6: Final answer
    x = 1,833,932.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.