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Finding the Third Proportional to 86,408 and 206,084

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Solution

The third proportional to 86,408 and 206,084 is: 491,512.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,408 : 206,084 = 206,084 : x
  2. Step 2: Convert to fraction form
    86,408/206,084 = 206,084/x
  3. Step 3: Cross multiply
    86,408x = 206,084 × 206,084
  4. Step 4: Simplify right side
    86,408x = 42,470,615,056
  5. Step 5: Solve for x
    x = 42,470,615,056/86,408
  6. Step 6: Final answer
    x = 491,512.53

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.