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Finding the Third Proportional to 205,264 and 447,680

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Solution

The third proportional to 205,264 and 447,680 is: 976,388.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,264 : 447,680 = 447,680 : x
  2. Step 2: Convert to fraction form
    205,264/447,680 = 447,680/x
  3. Step 3: Cross multiply
    205,264x = 447,680 × 447,680
  4. Step 4: Simplify right side
    205,264x = 200,417,382,400
  5. Step 5: Solve for x
    x = 200,417,382,400/205,264
  6. Step 6: Final answer
    x = 976,388.37

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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.