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Finding the Third Proportional to 207,852 and 446,784

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Solution

The third proportional to 207,852 and 446,784 is: 960,375.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,852 : 446,784 = 446,784 : x
  2. Step 2: Convert to fraction form
    207,852/446,784 = 446,784/x
  3. Step 3: Cross multiply
    207,852x = 446,784 × 446,784
  4. Step 4: Simplify right side
    207,852x = 199,615,942,656
  5. Step 5: Solve for x
    x = 199,615,942,656/207,852
  6. Step 6: Final answer
    x = 960,375.38

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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.