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Finding the Third Proportional to 100,298 and 208,997

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Solution

The third proportional to 100,298 and 208,997 is: 435,499.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,298 : 208,997 = 208,997 : x
  2. Step 2: Convert to fraction form
    100,298/208,997 = 208,997/x
  3. Step 3: Cross multiply
    100,298x = 208,997 × 208,997
  4. Step 4: Simplify right side
    100,298x = 43,679,746,009
  5. Step 5: Solve for x
    x = 43,679,746,009/100,298
  6. Step 6: Final answer
    x = 435,499.67

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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.