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Finding the Third Proportional to 207,615 and 451,680

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Solution

The third proportional to 207,615 and 451,680 is: 982,659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,615 : 451,680 = 451,680 : x
  2. Step 2: Convert to fraction form
    207,615/451,680 = 451,680/x
  3. Step 3: Cross multiply
    207,615x = 451,680 × 451,680
  4. Step 4: Simplify right side
    207,615x = 204,014,822,400
  5. Step 5: Solve for x
    x = 204,014,822,400/207,615
  6. Step 6: Final answer
    x = 982,659.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.