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Finding the Third Proportional to 635,042 and 905,268

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Solution

The third proportional to 635,042 and 905,268 is: 1,290,481.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,042 : 905,268 = 905,268 : x
  2. Step 2: Convert to fraction form
    635,042/905,268 = 905,268/x
  3. Step 3: Cross multiply
    635,042x = 905,268 × 905,268
  4. Step 4: Simplify right side
    635,042x = 819,510,151,824
  5. Step 5: Solve for x
    x = 819,510,151,824/635,042
  6. Step 6: Final answer
    x = 1,290,481.81

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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.