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Finding the Third Proportional to 207,975 and 308,901

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Solution

The third proportional to 207,975 and 308,901 is: 458,804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,975 : 308,901 = 308,901 : x
  2. Step 2: Convert to fraction form
    207,975/308,901 = 308,901/x
  3. Step 3: Cross multiply
    207,975x = 308,901 × 308,901
  4. Step 4: Simplify right side
    207,975x = 95,419,827,801
  5. Step 5: Solve for x
    x = 95,419,827,801/207,975
  6. Step 6: Final answer
    x = 458,804.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.