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Finding the Third Proportional to 445,538 and 638,462

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Solution

The third proportional to 445,538 and 638,462 is: 914,924.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,538 : 638,462 = 638,462 : x
  2. Step 2: Convert to fraction form
    445,538/638,462 = 638,462/x
  3. Step 3: Cross multiply
    445,538x = 638,462 × 638,462
  4. Step 4: Simplify right side
    445,538x = 407,633,725,444
  5. Step 5: Solve for x
    x = 407,633,725,444/445,538
  6. Step 6: Final answer
    x = 914,924.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.