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Finding the Third Proportional to 163,236 and 252,234

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Solution

The third proportional to 163,236 and 252,234 is: 389,754.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,236 : 252,234 = 252,234 : x
  2. Step 2: Convert to fraction form
    163,236/252,234 = 252,234/x
  3. Step 3: Cross multiply
    163,236x = 252,234 × 252,234
  4. Step 4: Simplify right side
    163,236x = 63,621,990,756
  5. Step 5: Solve for x
    x = 63,621,990,756/163,236
  6. Step 6: Final answer
    x = 389,754.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.