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Finding the Third Proportional to 135,140 and 211,994

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Solution

The third proportional to 135,140 and 211,994 is: 332,554.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,140 : 211,994 = 211,994 : x
  2. Step 2: Convert to fraction form
    135,140/211,994 = 211,994/x
  3. Step 3: Cross multiply
    135,140x = 211,994 × 211,994
  4. Step 4: Simplify right side
    135,140x = 44,941,456,036
  5. Step 5: Solve for x
    x = 44,941,456,036/135,140
  6. Step 6: Final answer
    x = 332,554.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.