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Finding the Third Proportional to 389,863 and 587,675

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Solution

The third proportional to 389,863 and 587,675 is: 885,854.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,863 : 587,675 = 587,675 : x
  2. Step 2: Convert to fraction form
    389,863/587,675 = 587,675/x
  3. Step 3: Cross multiply
    389,863x = 587,675 × 587,675
  4. Step 4: Simplify right side
    389,863x = 345,361,905,625
  5. Step 5: Solve for x
    x = 345,361,905,625/389,863
  6. Step 6: Final answer
    x = 885,854.53

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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.