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Finding the Third Proportional to 408,352,538 and 627,667,100

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Solution

The third proportional to 408,352,538 and 627,667,100 is: 964,769,290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,352,538 : 627,667,100 = 627,667,100 : x
  2. Step 2: Convert to fraction form
    408,352,538/627,667,100 = 627,667,100/x
  3. Step 3: Cross multiply
    408,352,538x = 627,667,100 × 627,667,100
  4. Step 4: Simplify right side
    408,352,538x = 393,965,988,422,409,984
  5. Step 5: Solve for x
    x = 393,965,988,422,409,984/408,352,538
  6. Step 6: Final answer
    x = 964,769,290.65

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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.