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Finding the Third Proportional to 421,632,384 and 629,968,512

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Solution

The third proportional to 421,632,384 and 629,968,512 is: 941,247,259.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,632,384 : 629,968,512 = 629,968,512 : x
  2. Step 2: Convert to fraction form
    421,632,384/629,968,512 = 629,968,512/x
  3. Step 3: Cross multiply
    421,632,384x = 629,968,512 × 629,968,512
  4. Step 4: Simplify right side
    421,632,384x = 396,860,326,111,494,144
  5. Step 5: Solve for x
    x = 396,860,326,111,494,144/421,632,384
  6. Step 6: Final answer
    x = 941,247,259.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.