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Finding the Third Proportional to 207,870 and 447,794

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Solution

The third proportional to 207,870 and 447,794 is: 964,638.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,870 : 447,794 = 447,794 : x
  2. Step 2: Convert to fraction form
    207,870/447,794 = 447,794/x
  3. Step 3: Cross multiply
    207,870x = 447,794 × 447,794
  4. Step 4: Simplify right side
    207,870x = 200,519,466,436
  5. Step 5: Solve for x
    x = 200,519,466,436/207,870
  6. Step 6: Final answer
    x = 964,638.80

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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.