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Finding the Third Proportional to 408,351,170 and 627,665,019

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Solution

The third proportional to 408,351,170 and 627,665,019 is: 964,766,125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,351,170 : 627,665,019 = 627,665,019 : x
  2. Step 2: Convert to fraction form
    408,351,170/627,665,019 = 627,665,019/x
  3. Step 3: Cross multiply
    408,351,170x = 627,665,019 × 627,665,019
  4. Step 4: Simplify right side
    408,351,170x = 393,963,376,076,270,336
  5. Step 5: Solve for x
    x = 393,963,376,076,270,336/408,351,170
  6. Step 6: Final answer
    x = 964,766,125.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.