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Finding the Third Proportional to 196,118 and 428,201

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Solution

The third proportional to 196,118 and 428,201 is: 934,927.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,118 : 428,201 = 428,201 : x
  2. Step 2: Convert to fraction form
    196,118/428,201 = 428,201/x
  3. Step 3: Cross multiply
    196,118x = 428,201 × 428,201
  4. Step 4: Simplify right side
    196,118x = 183,356,096,401
  5. Step 5: Solve for x
    x = 183,356,096,401/196,118
  6. Step 6: Final answer
    x = 934,927.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.