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Finding the Third Proportional to 99,021 and 206,202

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Solution

The third proportional to 99,021 and 206,202 is: 429,396.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,021 : 206,202 = 206,202 : x
  2. Step 2: Convert to fraction form
    99,021/206,202 = 206,202/x
  3. Step 3: Cross multiply
    99,021x = 206,202 × 206,202
  4. Step 4: Simplify right side
    99,021x = 42,519,264,804
  5. Step 5: Solve for x
    x = 42,519,264,804/99,021
  6. Step 6: Final answer
    x = 429,396.44

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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.