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Finding the Third Proportional to 204,820 and 423,846

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Solution

The third proportional to 204,820 and 423,846 is: 877,089.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,820 : 423,846 = 423,846 : x
  2. Step 2: Convert to fraction form
    204,820/423,846 = 423,846/x
  3. Step 3: Cross multiply
    204,820x = 423,846 × 423,846
  4. Step 4: Simplify right side
    204,820x = 179,645,431,716
  5. Step 5: Solve for x
    x = 179,645,431,716/204,820
  6. Step 6: Final answer
    x = 877,089.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.