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Finding the Third Proportional to 277,406 and 417,705

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Solution

The third proportional to 277,406 and 417,705 is: 628,960.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,406 : 417,705 = 417,705 : x
  2. Step 2: Convert to fraction form
    277,406/417,705 = 417,705/x
  3. Step 3: Cross multiply
    277,406x = 417,705 × 417,705
  4. Step 4: Simplify right side
    277,406x = 174,477,467,025
  5. Step 5: Solve for x
    x = 174,477,467,025/277,406
  6. Step 6: Final answer
    x = 628,960.68

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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.