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Finding the Third Proportional to 389,561 and 520,189

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Solution

The third proportional to 389,561 and 520,189 is: 694,619.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,561 : 520,189 = 520,189 : x
  2. Step 2: Convert to fraction form
    389,561/520,189 = 520,189/x
  3. Step 3: Cross multiply
    389,561x = 520,189 × 520,189
  4. Step 4: Simplify right side
    389,561x = 270,596,595,721
  5. Step 5: Solve for x
    x = 270,596,595,721/389,561
  6. Step 6: Final answer
    x = 694,619.32

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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.