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Finding the Third Proportional to 147,879 and 317,874

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Solution

The third proportional to 147,879 and 317,874 is: 683,287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,879 : 317,874 = 317,874 : x
  2. Step 2: Convert to fraction form
    147,879/317,874 = 317,874/x
  3. Step 3: Cross multiply
    147,879x = 317,874 × 317,874
  4. Step 4: Simplify right side
    147,879x = 101,043,879,876
  5. Step 5: Solve for x
    x = 101,043,879,876/147,879
  6. Step 6: Final answer
    x = 683,287.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.