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Finding the Third Proportional to 205,357 and 449,426

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Solution

The third proportional to 205,357 and 449,426 is: 983,573.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,357 : 449,426 = 449,426 : x
  2. Step 2: Convert to fraction form
    205,357/449,426 = 449,426/x
  3. Step 3: Cross multiply
    205,357x = 449,426 × 449,426
  4. Step 4: Simplify right side
    205,357x = 201,983,729,476
  5. Step 5: Solve for x
    x = 201,983,729,476/205,357
  6. Step 6: Final answer
    x = 983,573.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.