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Finding the Third Proportional to 135,489 and 190,629

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Solution

The third proportional to 135,489 and 190,629 is: 268,209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,489 : 190,629 = 190,629 : x
  2. Step 2: Convert to fraction form
    135,489/190,629 = 190,629/x
  3. Step 3: Cross multiply
    135,489x = 190,629 × 190,629
  4. Step 4: Simplify right side
    135,489x = 36,339,415,641
  5. Step 5: Solve for x
    x = 36,339,415,641/135,489
  6. Step 6: Final answer
    x = 268,209.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.