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Finding the Third Proportional to 383,220 and 831,642

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Solution

The third proportional to 383,220 and 831,642 is: 1,804,781.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,220 : 831,642 = 831,642 : x
  2. Step 2: Convert to fraction form
    383,220/831,642 = 831,642/x
  3. Step 3: Cross multiply
    383,220x = 831,642 × 831,642
  4. Step 4: Simplify right side
    383,220x = 691,628,416,164
  5. Step 5: Solve for x
    x = 691,628,416,164/383,220
  6. Step 6: Final answer
    x = 1,804,781.63

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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.