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Finding the Third Proportional to 100,489 and 209,247

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Solution

The third proportional to 100,489 and 209,247 is: 435,712.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,489 : 209,247 = 209,247 : x
  2. Step 2: Convert to fraction form
    100,489/209,247 = 209,247/x
  3. Step 3: Cross multiply
    100,489x = 209,247 × 209,247
  4. Step 4: Simplify right side
    100,489x = 43,784,307,009
  5. Step 5: Solve for x
    x = 43,784,307,009/100,489
  6. Step 6: Final answer
    x = 435,712.44

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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.