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Finding the Third Proportional to 277,056 and 417,456

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Solution

The third proportional to 277,056 and 417,456 is: 629,004.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,056 : 417,456 = 417,456 : x
  2. Step 2: Convert to fraction form
    277,056/417,456 = 417,456/x
  3. Step 3: Cross multiply
    277,056x = 417,456 × 417,456
  4. Step 4: Simplify right side
    277,056x = 174,269,511,936
  5. Step 5: Solve for x
    x = 174,269,511,936/277,056
  6. Step 6: Final answer
    x = 629,004.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.