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Finding the Third Proportional to 197,316 and 434,856

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Solution

The third proportional to 197,316 and 434,856 is: 958,359.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,316 : 434,856 = 434,856 : x
  2. Step 2: Convert to fraction form
    197,316/434,856 = 434,856/x
  3. Step 3: Cross multiply
    197,316x = 434,856 × 434,856
  4. Step 4: Simplify right side
    197,316x = 189,099,740,736
  5. Step 5: Solve for x
    x = 189,099,740,736/197,316
  6. Step 6: Final answer
    x = 958,359.89

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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.