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Finding the Third Proportional to 109,467 and 235,821

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Solution

The third proportional to 109,467 and 235,821 is: 508,021.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,467 : 235,821 = 235,821 : x
  2. Step 2: Convert to fraction form
    109,467/235,821 = 235,821/x
  3. Step 3: Cross multiply
    109,467x = 235,821 × 235,821
  4. Step 4: Simplify right side
    109,467x = 55,611,544,041
  5. Step 5: Solve for x
    x = 55,611,544,041/109,467
  6. Step 6: Final answer
    x = 508,021.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.