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Finding the Third Proportional to 102,800 and 213,808

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Solution

The third proportional to 102,800 and 213,808 is: 444,687.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,800 : 213,808 = 213,808 : x
  2. Step 2: Convert to fraction form
    102,800/213,808 = 213,808/x
  3. Step 3: Cross multiply
    102,800x = 213,808 × 213,808
  4. Step 4: Simplify right side
    102,800x = 45,713,860,864
  5. Step 5: Solve for x
    x = 45,713,860,864/102,800
  6. Step 6: Final answer
    x = 444,687.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.