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Finding the Third Proportional to 383,222 and 831,644

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Solution

The third proportional to 383,222 and 831,644 is: 1,804,780.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,222 : 831,644 = 831,644 : x
  2. Step 2: Convert to fraction form
    383,222/831,644 = 831,644/x
  3. Step 3: Cross multiply
    383,222x = 831,644 × 831,644
  4. Step 4: Simplify right side
    383,222x = 691,631,742,736
  5. Step 5: Solve for x
    x = 691,631,742,736/383,222
  6. Step 6: Final answer
    x = 1,804,780.89

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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.