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Finding the Third Proportional to 258,228 and 559,348

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Solution

The third proportional to 258,228 and 559,348 is: 1,211,604.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,228 : 559,348 = 559,348 : x
  2. Step 2: Convert to fraction form
    258,228/559,348 = 559,348/x
  3. Step 3: Cross multiply
    258,228x = 559,348 × 559,348
  4. Step 4: Simplify right side
    258,228x = 312,870,185,104
  5. Step 5: Solve for x
    x = 312,870,185,104/258,228
  6. Step 6: Final answer
    x = 1,211,604.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.