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Finding the Third Proportional to 196,949 and 305,539

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Solution

The third proportional to 196,949 and 305,539 is: 474,001.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,949 : 305,539 = 305,539 : x
  2. Step 2: Convert to fraction form
    196,949/305,539 = 305,539/x
  3. Step 3: Cross multiply
    196,949x = 305,539 × 305,539
  4. Step 4: Simplify right side
    196,949x = 93,354,080,521
  5. Step 5: Solve for x
    x = 93,354,080,521/196,949
  6. Step 6: Final answer
    x = 474,001.29

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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.