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Finding the Third Proportional to 118,296 and 259,888

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Solution

The third proportional to 118,296 and 259,888 is: 570,955.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,296 : 259,888 = 259,888 : x
  2. Step 2: Convert to fraction form
    118,296/259,888 = 259,888/x
  3. Step 3: Cross multiply
    118,296x = 259,888 × 259,888
  4. Step 4: Simplify right side
    118,296x = 67,541,772,544
  5. Step 5: Solve for x
    x = 67,541,772,544/118,296
  6. Step 6: Final answer
    x = 570,955.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.