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Finding the Third Proportional to 268,817,380 and 422,393,668

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Solution

The third proportional to 268,817,380 and 422,393,668 is: 663,708,614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,817,380 : 422,393,668 = 422,393,668 : x
  2. Step 2: Convert to fraction form
    268,817,380/422,393,668 = 422,393,668/x
  3. Step 3: Cross multiply
    268,817,380x = 422,393,668 × 422,393,668
  4. Step 4: Simplify right side
    268,817,380x = 178,416,410,766,494,208
  5. Step 5: Solve for x
    x = 178,416,410,766,494,208/268,817,380
  6. Step 6: Final answer
    x = 663,708,614.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.