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Finding the Third Proportional to 135,467 and 214,682

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Solution

The third proportional to 135,467 and 214,682 is: 340,218.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,467 : 214,682 = 214,682 : x
  2. Step 2: Convert to fraction form
    135,467/214,682 = 214,682/x
  3. Step 3: Cross multiply
    135,467x = 214,682 × 214,682
  4. Step 4: Simplify right side
    135,467x = 46,088,361,124
  5. Step 5: Solve for x
    x = 46,088,361,124/135,467
  6. Step 6: Final answer
    x = 340,218.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.