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Finding the Third Proportional to 398,786 and 860,188

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Solution

The third proportional to 398,786 and 860,188 is: 1,855,439.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,786 : 860,188 = 860,188 : x
  2. Step 2: Convert to fraction form
    398,786/860,188 = 860,188/x
  3. Step 3: Cross multiply
    398,786x = 860,188 × 860,188
  4. Step 4: Simplify right side
    398,786x = 739,923,395,344
  5. Step 5: Solve for x
    x = 739,923,395,344/398,786
  6. Step 6: Final answer
    x = 1,855,439.75

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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.