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Finding the Third Proportional to 196,240 and 415,856

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Solution

The third proportional to 196,240 and 415,856 is: 881,248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,240 : 415,856 = 415,856 : x
  2. Step 2: Convert to fraction form
    196,240/415,856 = 415,856/x
  3. Step 3: Cross multiply
    196,240x = 415,856 × 415,856
  4. Step 4: Simplify right side
    196,240x = 172,936,212,736
  5. Step 5: Solve for x
    x = 172,936,212,736/196,240
  6. Step 6: Final answer
    x = 881,248.54

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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.