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Finding the Third Proportional to 207,986 and 308,920

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Solution

The third proportional to 207,986 and 308,920 is: 458,836.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,986 : 308,920 = 308,920 : x
  2. Step 2: Convert to fraction form
    207,986/308,920 = 308,920/x
  3. Step 3: Cross multiply
    207,986x = 308,920 × 308,920
  4. Step 4: Simplify right side
    207,986x = 95,431,566,400
  5. Step 5: Solve for x
    x = 95,431,566,400/207,986
  6. Step 6: Final answer
    x = 458,836.49

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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.