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Finding the Third Proportional to 389,576 and 520,212

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Solution

The third proportional to 389,576 and 520,212 is: 694,654.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,576 : 520,212 = 520,212 : x
  2. Step 2: Convert to fraction form
    389,576/520,212 = 520,212/x
  3. Step 3: Cross multiply
    389,576x = 520,212 × 520,212
  4. Step 4: Simplify right side
    389,576x = 270,620,524,944
  5. Step 5: Solve for x
    x = 270,620,524,944/389,576
  6. Step 6: Final answer
    x = 694,654.00

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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.