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Finding the Third Proportional to 277,238 and 417,828

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Solution

The third proportional to 277,238 and 417,828 is: 629,712.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,238 : 417,828 = 417,828 : x
  2. Step 2: Convert to fraction form
    277,238/417,828 = 417,828/x
  3. Step 3: Cross multiply
    277,238x = 417,828 × 417,828
  4. Step 4: Simplify right side
    277,238x = 174,580,237,584
  5. Step 5: Solve for x
    x = 174,580,237,584/277,238
  6. Step 6: Final answer
    x = 629,712.51

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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.