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Finding the Third Proportional to 398,788 and 860,186

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Solution

The third proportional to 398,788 and 860,186 is: 1,855,421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,788 : 860,186 = 860,186 : x
  2. Step 2: Convert to fraction form
    398,788/860,186 = 860,186/x
  3. Step 3: Cross multiply
    398,788x = 860,186 × 860,186
  4. Step 4: Simplify right side
    398,788x = 739,919,954,596
  5. Step 5: Solve for x
    x = 739,919,954,596/398,788
  6. Step 6: Final answer
    x = 1,855,421.81

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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.