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Finding the Third Proportional to 281,771 and 664,488

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Solution

The third proportional to 281,771 and 664,488 is: 1,567,032.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,771 : 664,488 = 664,488 : x
  2. Step 2: Convert to fraction form
    281,771/664,488 = 664,488/x
  3. Step 3: Cross multiply
    281,771x = 664,488 × 664,488
  4. Step 4: Simplify right side
    281,771x = 441,544,302,144
  5. Step 5: Solve for x
    x = 441,544,302,144/281,771
  6. Step 6: Final answer
    x = 1,567,032.46

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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.