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Finding the Third Proportional to 283,493 and 438,635

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Solution

The third proportional to 283,493 and 438,635 is: 678,678.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,493 : 438,635 = 438,635 : x
  2. Step 2: Convert to fraction form
    283,493/438,635 = 438,635/x
  3. Step 3: Cross multiply
    283,493x = 438,635 × 438,635
  4. Step 4: Simplify right side
    283,493x = 192,400,663,225
  5. Step 5: Solve for x
    x = 192,400,663,225/283,493
  6. Step 6: Final answer
    x = 678,678.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.