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Finding the Third Proportional to 98,408 and 203,816

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Solution

The third proportional to 98,408 and 203,816 is: 422,129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,408 : 203,816 = 203,816 : x
  2. Step 2: Convert to fraction form
    98,408/203,816 = 203,816/x
  3. Step 3: Cross multiply
    98,408x = 203,816 × 203,816
  4. Step 4: Simplify right side
    98,408x = 41,540,961,856
  5. Step 5: Solve for x
    x = 41,540,961,856/98,408
  6. Step 6: Final answer
    x = 422,129.93

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.