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Finding the Third Proportional to 446,190 and 654,405

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Solution

The third proportional to 446,190 and 654,405 is: 959,783.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,190 : 654,405 = 654,405 : x
  2. Step 2: Convert to fraction form
    446,190/654,405 = 654,405/x
  3. Step 3: Cross multiply
    446,190x = 654,405 × 654,405
  4. Step 4: Simplify right side
    446,190x = 428,245,904,025
  5. Step 5: Solve for x
    x = 428,245,904,025/446,190
  6. Step 6: Final answer
    x = 959,783.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.