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Finding the Third Proportional to 427,380 and 664,390

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Solution

The third proportional to 427,380 and 664,390 is: 1,032,837.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,380 : 664,390 = 664,390 : x
  2. Step 2: Convert to fraction form
    427,380/664,390 = 664,390/x
  3. Step 3: Cross multiply
    427,380x = 664,390 × 664,390
  4. Step 4: Simplify right side
    427,380x = 441,414,072,100
  5. Step 5: Solve for x
    x = 441,414,072,100/427,380
  6. Step 6: Final answer
    x = 1,032,837.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.