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Finding the Third Proportional to 389,880 and 587,700

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Solution

The third proportional to 389,880 and 587,700 is: 885,891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,880 : 587,700 = 587,700 : x
  2. Step 2: Convert to fraction form
    389,880/587,700 = 587,700/x
  3. Step 3: Cross multiply
    389,880x = 587,700 × 587,700
  4. Step 4: Simplify right side
    389,880x = 345,391,290,000
  5. Step 5: Solve for x
    x = 345,391,290,000/389,880
  6. Step 6: Final answer
    x = 885,891.27

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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.