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Finding the Third Proportional to 135,243 and 210,234

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Solution

The third proportional to 135,243 and 210,234 is: 326,806.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,243 : 210,234 = 210,234 : x
  2. Step 2: Convert to fraction form
    135,243/210,234 = 210,234/x
  3. Step 3: Cross multiply
    135,243x = 210,234 × 210,234
  4. Step 4: Simplify right side
    135,243x = 44,198,334,756
  5. Step 5: Solve for x
    x = 44,198,334,756/135,243
  6. Step 6: Final answer
    x = 326,806.82

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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.