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Finding the Third Proportional to 207,977 and 447,478

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Solution

The third proportional to 207,977 and 447,478 is: 962,782.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,977 : 447,478 = 447,478 : x
  2. Step 2: Convert to fraction form
    207,977/447,478 = 447,478/x
  3. Step 3: Cross multiply
    207,977x = 447,478 × 447,478
  4. Step 4: Simplify right side
    207,977x = 200,236,560,484
  5. Step 5: Solve for x
    x = 200,236,560,484/207,977
  6. Step 6: Final answer
    x = 962,782.23

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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.