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Finding the Third Proportional to 197,788 and 306,824

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Solution

The third proportional to 197,788 and 306,824 is: 475,969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,788 : 306,824 = 306,824 : x
  2. Step 2: Convert to fraction form
    197,788/306,824 = 306,824/x
  3. Step 3: Cross multiply
    197,788x = 306,824 × 306,824
  4. Step 4: Simplify right side
    197,788x = 94,140,966,976
  5. Step 5: Solve for x
    x = 94,140,966,976/197,788
  6. Step 6: Final answer
    x = 475,969.05

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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.