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Finding the Third Proportional to 447,140 and 664,635

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Solution

The third proportional to 447,140 and 664,635 is: 987,922.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,140 : 664,635 = 664,635 : x
  2. Step 2: Convert to fraction form
    447,140/664,635 = 664,635/x
  3. Step 3: Cross multiply
    447,140x = 664,635 × 664,635
  4. Step 4: Simplify right side
    447,140x = 441,739,683,225
  5. Step 5: Solve for x
    x = 441,739,683,225/447,140
  6. Step 6: Final answer
    x = 987,922.54

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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.