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Finding the Third Proportional to 389,382 and 844,860

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Solution

The third proportional to 389,382 and 844,860 is: 1,833,131.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,382 : 844,860 = 844,860 : x
  2. Step 2: Convert to fraction form
    389,382/844,860 = 844,860/x
  3. Step 3: Cross multiply
    389,382x = 844,860 × 844,860
  4. Step 4: Simplify right side
    389,382x = 713,788,419,600
  5. Step 5: Solve for x
    x = 713,788,419,600/389,382
  6. Step 6: Final answer
    x = 1,833,131.53

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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.