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Finding the Third Proportional to 135,157 and 194,690

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Solution

The third proportional to 135,157 and 194,690 is: 280,445.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,157 : 194,690 = 194,690 : x
  2. Step 2: Convert to fraction form
    135,157/194,690 = 194,690/x
  3. Step 3: Cross multiply
    135,157x = 194,690 × 194,690
  4. Step 4: Simplify right side
    135,157x = 37,904,196,100
  5. Step 5: Solve for x
    x = 37,904,196,100/135,157
  6. Step 6: Final answer
    x = 280,445.68

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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.