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Finding the Third Proportional to 408,351,172 and 627,665,022

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Solution

The third proportional to 408,351,172 and 627,665,022 is: 964,766,129.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,351,172 : 627,665,022 = 627,665,022 : x
  2. Step 2: Convert to fraction form
    408,351,172/627,665,022 = 627,665,022/x
  3. Step 3: Cross multiply
    408,351,172x = 627,665,022 × 627,665,022
  4. Step 4: Simplify right side
    408,351,172x = 393,963,379,842,260,480
  5. Step 5: Solve for x
    x = 393,963,379,842,260,480/408,351,172
  6. Step 6: Final answer
    x = 964,766,129.88

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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.