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Finding the Third Proportional to 398,338 and 860,062

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Solution

The third proportional to 398,338 and 860,062 is: 1,856,982.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,338 : 860,062 = 860,062 : x
  2. Step 2: Convert to fraction form
    398,338/860,062 = 860,062/x
  3. Step 3: Cross multiply
    398,338x = 860,062 × 860,062
  4. Step 4: Simplify right side
    398,338x = 739,706,643,844
  5. Step 5: Solve for x
    x = 739,706,643,844/398,338
  6. Step 6: Final answer
    x = 1,856,982.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.