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Finding the Third Proportional to 70,236 and 155,244

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Solution

The third proportional to 70,236 and 155,244 is: 343,138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,236 : 155,244 = 155,244 : x
  2. Step 2: Convert to fraction form
    70,236/155,244 = 155,244/x
  3. Step 3: Cross multiply
    70,236x = 155,244 × 155,244
  4. Step 4: Simplify right side
    70,236x = 24,100,699,536
  5. Step 5: Solve for x
    x = 24,100,699,536/70,236
  6. Step 6: Final answer
    x = 343,138.84

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.