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Finding the Third Proportional to 442,977 and 664,329

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Solution

The third proportional to 442,977 and 664,329 is: 996,288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,977 : 664,329 = 664,329 : x
  2. Step 2: Convert to fraction form
    442,977/664,329 = 664,329/x
  3. Step 3: Cross multiply
    442,977x = 664,329 × 664,329
  4. Step 4: Simplify right side
    442,977x = 441,333,020,241
  5. Step 5: Solve for x
    x = 441,333,020,241/442,977
  6. Step 6: Final answer
    x = 996,288.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.