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Finding the Third Proportional to 209,236 and 268,653

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Solution

The third proportional to 209,236 and 268,653 is: 344,942.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,236 : 268,653 = 268,653 : x
  2. Step 2: Convert to fraction form
    209,236/268,653 = 268,653/x
  3. Step 3: Cross multiply
    209,236x = 268,653 × 268,653
  4. Step 4: Simplify right side
    209,236x = 72,174,434,409
  5. Step 5: Solve for x
    x = 72,174,434,409/209,236
  6. Step 6: Final answer
    x = 344,942.72

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.