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Finding the Third Proportional to 270,904 and 419,236

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Solution

The third proportional to 270,904 and 419,236 is: 648,786.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,904 : 419,236 = 419,236 : x
  2. Step 2: Convert to fraction form
    270,904/419,236 = 419,236/x
  3. Step 3: Cross multiply
    270,904x = 419,236 × 419,236
  4. Step 4: Simplify right side
    270,904x = 175,758,823,696
  5. Step 5: Solve for x
    x = 175,758,823,696/270,904
  6. Step 6: Final answer
    x = 648,786.37

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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.