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Finding the Third Proportional to 121,221 and 264,474

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Solution

The third proportional to 121,221 and 264,474 is: 577,016.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,221 : 264,474 = 264,474 : x
  2. Step 2: Convert to fraction form
    121,221/264,474 = 264,474/x
  3. Step 3: Cross multiply
    121,221x = 264,474 × 264,474
  4. Step 4: Simplify right side
    121,221x = 69,946,496,676
  5. Step 5: Solve for x
    x = 69,946,496,676/121,221
  6. Step 6: Final answer
    x = 577,016.33

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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.