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Finding the Third Proportional to 204,728 and 431,864

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Solution

The third proportional to 204,728 and 431,864 is: 910,996.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,728 : 431,864 = 431,864 : x
  2. Step 2: Convert to fraction form
    204,728/431,864 = 431,864/x
  3. Step 3: Cross multiply
    204,728x = 431,864 × 431,864
  4. Step 4: Simplify right side
    204,728x = 186,506,514,496
  5. Step 5: Solve for x
    x = 186,506,514,496/204,728
  6. Step 6: Final answer
    x = 910,996.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.