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Finding the Third Proportional to 419,328 and 664,272

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Solution

The third proportional to 419,328 and 664,272 is: 1,052,296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,328 : 664,272 = 664,272 : x
  2. Step 2: Convert to fraction form
    419,328/664,272 = 664,272/x
  3. Step 3: Cross multiply
    419,328x = 664,272 × 664,272
  4. Step 4: Simplify right side
    419,328x = 441,257,289,984
  5. Step 5: Solve for x
    x = 441,257,289,984/419,328
  6. Step 6: Final answer
    x = 1,052,296.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.