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Finding the Third Proportional to 197,796 and 306,836

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Solution

The third proportional to 197,796 and 306,836 is: 475,987.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,796 : 306,836 = 306,836 : x
  2. Step 2: Convert to fraction form
    197,796/306,836 = 306,836/x
  3. Step 3: Cross multiply
    197,796x = 306,836 × 306,836
  4. Step 4: Simplify right side
    197,796x = 94,148,330,896
  5. Step 5: Solve for x
    x = 94,148,330,896/197,796
  6. Step 6: Final answer
    x = 475,987.03

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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.