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Finding the Third Proportional to 197,720 and 434,796

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Solution

The third proportional to 197,720 and 434,796 is: 956,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,720 : 434,796 = 434,796 : x
  2. Step 2: Convert to fraction form
    197,720/434,796 = 434,796/x
  3. Step 3: Cross multiply
    197,720x = 434,796 × 434,796
  4. Step 4: Simplify right side
    197,720x = 189,047,561,616
  5. Step 5: Solve for x
    x = 189,047,561,616/197,720
  6. Step 6: Final answer
    x = 956,137.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.