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Finding the Third Proportional to 196,740 and 422,154

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Solution

The third proportional to 196,740 and 422,154 is: 905,835.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,740 : 422,154 = 422,154 : x
  2. Step 2: Convert to fraction form
    196,740/422,154 = 422,154/x
  3. Step 3: Cross multiply
    196,740x = 422,154 × 422,154
  4. Step 4: Simplify right side
    196,740x = 178,213,999,716
  5. Step 5: Solve for x
    x = 178,213,999,716/196,740
  6. Step 6: Final answer
    x = 905,835.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.