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Finding the Third Proportional to 445,984 and 635,760

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Solution

The third proportional to 445,984 and 635,760 is: 906,289.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,984 : 635,760 = 635,760 : x
  2. Step 2: Convert to fraction form
    445,984/635,760 = 635,760/x
  3. Step 3: Cross multiply
    445,984x = 635,760 × 635,760
  4. Step 4: Simplify right side
    445,984x = 404,190,777,600
  5. Step 5: Solve for x
    x = 404,190,777,600/445,984
  6. Step 6: Final answer
    x = 906,289.86

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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.