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Finding the Third Proportional to 446,544 and 644,328

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Solution

The third proportional to 446,544 and 644,328 is: 929,714.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,544 : 644,328 = 644,328 : x
  2. Step 2: Convert to fraction form
    446,544/644,328 = 644,328/x
  3. Step 3: Cross multiply
    446,544x = 644,328 × 644,328
  4. Step 4: Simplify right side
    446,544x = 415,158,571,584
  5. Step 5: Solve for x
    x = 415,158,571,584/446,544
  6. Step 6: Final answer
    x = 929,714.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.