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Finding the Third Proportional to 135,153 and 194,679

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Solution

The third proportional to 135,153 and 194,679 is: 280,422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,153 : 194,679 = 194,679 : x
  2. Step 2: Convert to fraction form
    135,153/194,679 = 194,679/x
  3. Step 3: Cross multiply
    135,153x = 194,679 × 194,679
  4. Step 4: Simplify right side
    135,153x = 37,899,913,041
  5. Step 5: Solve for x
    x = 37,899,913,041/135,153
  6. Step 6: Final answer
    x = 280,422.28

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.