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Finding the Third Proportional to 322,868 and 637,456

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Solution

The third proportional to 322,868 and 637,456 is: 1,258,564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,868 : 637,456 = 637,456 : x
  2. Step 2: Convert to fraction form
    322,868/637,456 = 637,456/x
  3. Step 3: Cross multiply
    322,868x = 637,456 × 637,456
  4. Step 4: Simplify right side
    322,868x = 406,350,151,936
  5. Step 5: Solve for x
    x = 406,350,151,936/322,868
  6. Step 6: Final answer
    x = 1,258,564.34

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.