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Finding the Third Proportional to 121,422 and 248,856

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Solution

The third proportional to 121,422 and 248,856 is: 510,033.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,422 : 248,856 = 248,856 : x
  2. Step 2: Convert to fraction form
    121,422/248,856 = 248,856/x
  3. Step 3: Cross multiply
    121,422x = 248,856 × 248,856
  4. Step 4: Simplify right side
    121,422x = 61,929,308,736
  5. Step 5: Solve for x
    x = 61,929,308,736/121,422
  6. Step 6: Final answer
    x = 510,033.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.