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Finding the Third Proportional to 207,838 and 447,723

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Solution

The third proportional to 207,838 and 447,723 is: 964,481.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,838 : 447,723 = 447,723 : x
  2. Step 2: Convert to fraction form
    207,838/447,723 = 447,723/x
  3. Step 3: Cross multiply
    207,838x = 447,723 × 447,723
  4. Step 4: Simplify right side
    207,838x = 200,455,884,729
  5. Step 5: Solve for x
    x = 200,455,884,729/207,838
  6. Step 6: Final answer
    x = 964,481.40

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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.