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Finding the Third Proportional to 99,450 and 207,242

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Solution

The third proportional to 99,450 and 207,242 is: 431,867.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,450 : 207,242 = 207,242 : x
  2. Step 2: Convert to fraction form
    99,450/207,242 = 207,242/x
  3. Step 3: Cross multiply
    99,450x = 207,242 × 207,242
  4. Step 4: Simplify right side
    99,450x = 42,949,246,564
  5. Step 5: Solve for x
    x = 42,949,246,564/99,450
  6. Step 6: Final answer
    x = 431,867.74

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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.