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Finding the Third Proportional to 196,228 and 423,825

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Solution

The third proportional to 196,228 and 423,825 is: 915,402.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,228 : 423,825 = 423,825 : x
  2. Step 2: Convert to fraction form
    196,228/423,825 = 423,825/x
  3. Step 3: Cross multiply
    196,228x = 423,825 × 423,825
  4. Step 4: Simplify right side
    196,228x = 179,627,630,625
  5. Step 5: Solve for x
    x = 179,627,630,625/196,228
  6. Step 6: Final answer
    x = 915,402.65

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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.