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Finding the Third Proportional to 133,878 and 200,823

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Solution

The third proportional to 133,878 and 200,823 is: 301,243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,878 : 200,823 = 200,823 : x
  2. Step 2: Convert to fraction form
    133,878/200,823 = 200,823/x
  3. Step 3: Cross multiply
    133,878x = 200,823 × 200,823
  4. Step 4: Simplify right side
    133,878x = 40,329,877,329
  5. Step 5: Solve for x
    x = 40,329,877,329/133,878
  6. Step 6: Final answer
    x = 301,243.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.