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Finding the Third Proportional to 447,170 and 664,677

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Solution

The third proportional to 447,170 and 664,677 is: 987,981.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,170 : 664,677 = 664,677 : x
  2. Step 2: Convert to fraction form
    447,170/664,677 = 664,677/x
  3. Step 3: Cross multiply
    447,170x = 664,677 × 664,677
  4. Step 4: Simplify right side
    447,170x = 441,795,514,329
  5. Step 5: Solve for x
    x = 441,795,514,329/447,170
  6. Step 6: Final answer
    x = 987,981.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.