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Finding the Third Proportional to 196,433 and 428,850

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Solution

The third proportional to 196,433 and 428,850 is: 936,259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,433 : 428,850 = 428,850 : x
  2. Step 2: Convert to fraction form
    196,433/428,850 = 428,850/x
  3. Step 3: Cross multiply
    196,433x = 428,850 × 428,850
  4. Step 4: Simplify right side
    196,433x = 183,912,322,500
  5. Step 5: Solve for x
    x = 183,912,322,500/196,433
  6. Step 6: Final answer
    x = 936,259.81

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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.