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Finding the Third Proportional to 389,198 and 838,436

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Solution

The third proportional to 389,198 and 838,436 is: 1,806,214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,198 : 838,436 = 838,436 : x
  2. Step 2: Convert to fraction form
    389,198/838,436 = 838,436/x
  3. Step 3: Cross multiply
    389,198x = 838,436 × 838,436
  4. Step 4: Simplify right side
    389,198x = 702,974,926,096
  5. Step 5: Solve for x
    x = 702,974,926,096/389,198
  6. Step 6: Final answer
    x = 1,806,214.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.