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Finding the Third Proportional to 197,808 and 434,928

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Solution

The third proportional to 197,808 and 434,928 is: 956,292.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,808 : 434,928 = 434,928 : x
  2. Step 2: Convert to fraction form
    197,808/434,928 = 434,928/x
  3. Step 3: Cross multiply
    197,808x = 434,928 × 434,928
  4. Step 4: Simplify right side
    197,808x = 189,162,365,184
  5. Step 5: Solve for x
    x = 189,162,365,184/197,808
  6. Step 6: Final answer
    x = 956,292.79

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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.