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Finding the Third Proportional to 389,674 and 838,530

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Solution

The third proportional to 389,674 and 838,530 is: 1,804,412.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,674 : 838,530 = 838,530 : x
  2. Step 2: Convert to fraction form
    389,674/838,530 = 838,530/x
  3. Step 3: Cross multiply
    389,674x = 838,530 × 838,530
  4. Step 4: Simplify right side
    389,674x = 703,132,560,900
  5. Step 5: Solve for x
    x = 703,132,560,900/389,674
  6. Step 6: Final answer
    x = 1,804,412.31

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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.