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Finding the Third Proportional to 446,945 and 638,467

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Solution

The third proportional to 446,945 and 638,467 is: 912,058.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,945 : 638,467 = 638,467 : x
  2. Step 2: Convert to fraction form
    446,945/638,467 = 638,467/x
  3. Step 3: Cross multiply
    446,945x = 638,467 × 638,467
  4. Step 4: Simplify right side
    446,945x = 407,640,110,089
  5. Step 5: Solve for x
    x = 407,640,110,089/446,945
  6. Step 6: Final answer
    x = 912,058.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.