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Finding the Third Proportional to 281,721 and 664,368

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Solution

The third proportional to 281,721 and 664,368 is: 1,566,744.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,721 : 664,368 = 664,368 : x
  2. Step 2: Convert to fraction form
    281,721/664,368 = 664,368/x
  3. Step 3: Cross multiply
    281,721x = 664,368 × 664,368
  4. Step 4: Simplify right side
    281,721x = 441,384,839,424
  5. Step 5: Solve for x
    x = 441,384,839,424/281,721
  6. Step 6: Final answer
    x = 1,566,744.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.