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Finding the Third Proportional to 70,117.25 and 154,257.75

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Solution

The third proportional to 70,117.25 and 154,257.75 is: 339,366.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,117.25 : 154,257.75 = 154,257.75 : x
  2. Step 2: Convert to fraction form
    70,117.25/154,257.75 = 154,257.75/x
  3. Step 3: Cross multiply
    70,117.25x = 154,257.75 × 154,257.75
  4. Step 4: Simplify right side
    70,117.25x = 23,795,453,435.06
  5. Step 5: Solve for x
    x = 23,795,453,435.06/70,117.25
  6. Step 6: Final answer
    x = 339,366.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.