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Finding the Third Proportional to 204,947 and 313,639

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Solution

The third proportional to 204,947 and 313,639 is: 479,974.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,947 : 313,639 = 313,639 : x
  2. Step 2: Convert to fraction form
    204,947/313,639 = 313,639/x
  3. Step 3: Cross multiply
    204,947x = 313,639 × 313,639
  4. Step 4: Simplify right side
    204,947x = 98,369,422,321
  5. Step 5: Solve for x
    x = 98,369,422,321/204,947
  6. Step 6: Final answer
    x = 479,974.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.