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Finding the Third Proportional to 196,144 and 423,400

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Solution

The third proportional to 196,144 and 423,400 is: 913,958.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,144 : 423,400 = 423,400 : x
  2. Step 2: Convert to fraction form
    196,144/423,400 = 423,400/x
  3. Step 3: Cross multiply
    196,144x = 423,400 × 423,400
  4. Step 4: Simplify right side
    196,144x = 179,267,560,000
  5. Step 5: Solve for x
    x = 179,267,560,000/196,144
  6. Step 6: Final answer
    x = 913,958.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.