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Finding the Third Proportional to 196,802 and 422,270

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Solution

The third proportional to 196,802 and 422,270 is: 906,047.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,802 : 422,270 = 422,270 : x
  2. Step 2: Convert to fraction form
    196,802/422,270 = 422,270/x
  3. Step 3: Cross multiply
    196,802x = 422,270 × 422,270
  4. Step 4: Simplify right side
    196,802x = 178,311,952,900
  5. Step 5: Solve for x
    x = 178,311,952,900/196,802
  6. Step 6: Final answer
    x = 906,047.46

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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.