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Finding the Third Proportional to 118,517 and 258,338

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Solution

The third proportional to 118,517 and 258,338 is: 563,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,517 : 258,338 = 258,338 : x
  2. Step 2: Convert to fraction form
    118,517/258,338 = 258,338/x
  3. Step 3: Cross multiply
    118,517x = 258,338 × 258,338
  4. Step 4: Simplify right side
    118,517x = 66,738,522,244
  5. Step 5: Solve for x
    x = 66,738,522,244/118,517
  6. Step 6: Final answer
    x = 563,113.50

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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.