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Finding the Third Proportional to 207,988 and 308,923

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Solution

The third proportional to 207,988 and 308,923 is: 458,840.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,988 : 308,923 = 308,923 : x
  2. Step 2: Convert to fraction form
    207,988/308,923 = 308,923/x
  3. Step 3: Cross multiply
    207,988x = 308,923 × 308,923
  4. Step 4: Simplify right side
    207,988x = 95,433,419,929
  5. Step 5: Solve for x
    x = 95,433,419,929/207,988
  6. Step 6: Final answer
    x = 458,840.99

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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.