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Finding the Third Proportional to 135,400 and 211,740

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Solution

The third proportional to 135,400 and 211,740 is: 331,121.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,400 : 211,740 = 211,740 : x
  2. Step 2: Convert to fraction form
    135,400/211,740 = 211,740/x
  3. Step 3: Cross multiply
    135,400x = 211,740 × 211,740
  4. Step 4: Simplify right side
    135,400x = 44,833,827,600
  5. Step 5: Solve for x
    x = 44,833,827,600/135,400
  6. Step 6: Final answer
    x = 331,121.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.