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Finding the Third Proportional to 397,320 and 860,636

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Solution

The third proportional to 397,320 and 860,636 is: 1,864,226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,320 : 860,636 = 860,636 : x
  2. Step 2: Convert to fraction form
    397,320/860,636 = 860,636/x
  3. Step 3: Cross multiply
    397,320x = 860,636 × 860,636
  4. Step 4: Simplify right side
    397,320x = 740,694,324,496
  5. Step 5: Solve for x
    x = 740,694,324,496/397,320
  6. Step 6: Final answer
    x = 1,864,226.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.