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Finding the Third Proportional to 194,976 and 405,270

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Solution

The third proportional to 194,976 and 405,270 is: 842,379.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,976 : 405,270 = 405,270 : x
  2. Step 2: Convert to fraction form
    194,976/405,270 = 405,270/x
  3. Step 3: Cross multiply
    194,976x = 405,270 × 405,270
  4. Step 4: Simplify right side
    194,976x = 164,243,772,900
  5. Step 5: Solve for x
    x = 164,243,772,900/194,976
  6. Step 6: Final answer
    x = 842,379.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.