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Finding the Third Proportional to 196,112 and 415,336

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Solution

The third proportional to 196,112 and 415,336 is: 879,619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,112 : 415,336 = 415,336 : x
  2. Step 2: Convert to fraction form
    196,112/415,336 = 415,336/x
  3. Step 3: Cross multiply
    196,112x = 415,336 × 415,336
  4. Step 4: Simplify right side
    196,112x = 172,503,992,896
  5. Step 5: Solve for x
    x = 172,503,992,896/196,112
  6. Step 6: Final answer
    x = 879,619.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.