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Finding the Third Proportional to 274,855 and 420,456

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Solution

The third proportional to 274,855 and 420,456 is: 643,187.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,855 : 420,456 = 420,456 : x
  2. Step 2: Convert to fraction form
    274,855/420,456 = 420,456/x
  3. Step 3: Cross multiply
    274,855x = 420,456 × 420,456
  4. Step 4: Simplify right side
    274,855x = 176,783,247,936
  5. Step 5: Solve for x
    x = 176,783,247,936/274,855
  6. Step 6: Final answer
    x = 643,187.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.