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Finding the Third Proportional to 389,861 and 587,672

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Solution

The third proportional to 389,861 and 587,672 is: 885,850.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,861 : 587,672 = 587,672 : x
  2. Step 2: Convert to fraction form
    389,861/587,672 = 587,672/x
  3. Step 3: Cross multiply
    389,861x = 587,672 × 587,672
  4. Step 4: Simplify right side
    389,861x = 345,358,379,584
  5. Step 5: Solve for x
    x = 345,358,379,584/389,861
  6. Step 6: Final answer
    x = 885,850.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.