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Finding the Third Proportional to 389,562 and 520,191

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Solution

The third proportional to 389,562 and 520,191 is: 694,622.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,562 : 520,191 = 520,191 : x
  2. Step 2: Convert to fraction form
    389,562/520,191 = 520,191/x
  3. Step 3: Cross multiply
    389,562x = 520,191 × 520,191
  4. Step 4: Simplify right side
    389,562x = 270,598,676,481
  5. Step 5: Solve for x
    x = 270,598,676,481/389,562
  6. Step 6: Final answer
    x = 694,622.88

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.