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Finding the Third Proportional to 205,784 and 449,440

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Solution

The third proportional to 205,784 and 449,440 is: 981,593.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,784 : 449,440 = 449,440 : x
  2. Step 2: Convert to fraction form
    205,784/449,440 = 449,440/x
  3. Step 3: Cross multiply
    205,784x = 449,440 × 449,440
  4. Step 4: Simplify right side
    205,784x = 201,996,313,600
  5. Step 5: Solve for x
    x = 201,996,313,600/205,784
  6. Step 6: Final answer
    x = 981,593.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.