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Finding the Third Proportional to 408,351,138 and 627,664,962

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Solution

The third proportional to 408,351,138 and 627,664,962 is: 964,766,025.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,351,138 : 627,664,962 = 627,664,962 : x
  2. Step 2: Convert to fraction form
    408,351,138/627,664,962 = 627,664,962/x
  3. Step 3: Cross multiply
    408,351,138x = 627,664,962 × 627,664,962
  4. Step 4: Simplify right side
    408,351,138x = 393,963,304,522,461,440
  5. Step 5: Solve for x
    x = 393,963,304,522,461,440/408,351,138
  6. Step 6: Final answer
    x = 964,766,025.76

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