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Finding the Third Proportional to 196,431 and 428,847

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Solution

The third proportional to 196,431 and 428,847 is: 936,256.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,431 : 428,847 = 428,847 : x
  2. Step 2: Convert to fraction form
    196,431/428,847 = 428,847/x
  3. Step 3: Cross multiply
    196,431x = 428,847 × 428,847
  4. Step 4: Simplify right side
    196,431x = 183,909,749,409
  5. Step 5: Solve for x
    x = 183,909,749,409/196,431
  6. Step 6: Final answer
    x = 936,256.24

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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.