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Finding the Third Proportional to 389,865 and 587,678

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Solution

The third proportional to 389,865 and 587,678 is: 885,859.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,865 : 587,678 = 587,678 : x
  2. Step 2: Convert to fraction form
    389,865/587,678 = 587,678/x
  3. Step 3: Cross multiply
    389,865x = 587,678 × 587,678
  4. Step 4: Simplify right side
    389,865x = 345,365,431,684
  5. Step 5: Solve for x
    x = 345,365,431,684/389,865
  6. Step 6: Final answer
    x = 885,859.03

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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.