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Finding the Third Proportional to 98,538 and 208,839

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Solution

The third proportional to 98,538 and 208,839 is: 442,608.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,538 : 208,839 = 208,839 : x
  2. Step 2: Convert to fraction form
    98,538/208,839 = 208,839/x
  3. Step 3: Cross multiply
    98,538x = 208,839 × 208,839
  4. Step 4: Simplify right side
    98,538x = 43,613,727,921
  5. Step 5: Solve for x
    x = 43,613,727,921/98,538
  6. Step 6: Final answer
    x = 442,608.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.