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Finding the Third Proportional to 118,146 and 259,257

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Solution

The third proportional to 118,146 and 259,257 is: 568,907.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,146 : 259,257 = 259,257 : x
  2. Step 2: Convert to fraction form
    118,146/259,257 = 259,257/x
  3. Step 3: Cross multiply
    118,146x = 259,257 × 259,257
  4. Step 4: Simplify right side
    118,146x = 67,214,192,049
  5. Step 5: Solve for x
    x = 67,214,192,049/118,146
  6. Step 6: Final answer
    x = 568,907.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.