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Finding the Third Proportional to 118,269 and 258,390

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Solution

The third proportional to 118,269 and 258,390 is: 564,521.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,269 : 258,390 = 258,390 : x
  2. Step 2: Convert to fraction form
    118,269/258,390 = 258,390/x
  3. Step 3: Cross multiply
    118,269x = 258,390 × 258,390
  4. Step 4: Simplify right side
    118,269x = 66,765,392,100
  5. Step 5: Solve for x
    x = 66,765,392,100/118,269
  6. Step 6: Final answer
    x = 564,521.49

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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.