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Finding the Third Proportional to 121,224 and 259,296

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Solution

The third proportional to 121,224 and 259,296 is: 554,629.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,224 : 259,296 = 259,296 : x
  2. Step 2: Convert to fraction form
    121,224/259,296 = 259,296/x
  3. Step 3: Cross multiply
    121,224x = 259,296 × 259,296
  4. Step 4: Simplify right side
    121,224x = 67,234,415,616
  5. Step 5: Solve for x
    x = 67,234,415,616/121,224
  6. Step 6: Final answer
    x = 554,629.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.