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Finding the Third Proportional to 201,879 and 313,479

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Solution

The third proportional to 201,879 and 313,479 is: 486,772.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,879 : 313,479 = 313,479 : x
  2. Step 2: Convert to fraction form
    201,879/313,479 = 313,479/x
  3. Step 3: Cross multiply
    201,879x = 313,479 × 313,479
  4. Step 4: Simplify right side
    201,879x = 98,269,083,441
  5. Step 5: Solve for x
    x = 98,269,083,441/201,879
  6. Step 6: Final answer
    x = 486,772.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.