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Finding the Third Proportional to 135,153 and 278,874

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Solution

The third proportional to 135,153 and 278,874 is: 575,427.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,153 : 278,874 = 278,874 : x
  2. Step 2: Convert to fraction form
    135,153/278,874 = 278,874/x
  3. Step 3: Cross multiply
    135,153x = 278,874 × 278,874
  4. Step 4: Simplify right side
    135,153x = 77,770,707,876
  5. Step 5: Solve for x
    x = 77,770,707,876/135,153
  6. Step 6: Final answer
    x = 575,427.17

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.