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Finding the Third Proportional to 324,178 and 520,866

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Solution

The third proportional to 324,178 and 520,866 is: 836,890.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,178 : 520,866 = 520,866 : x
  2. Step 2: Convert to fraction form
    324,178/520,866 = 520,866/x
  3. Step 3: Cross multiply
    324,178x = 520,866 × 520,866
  4. Step 4: Simplify right side
    324,178x = 271,301,389,956
  5. Step 5: Solve for x
    x = 271,301,389,956/324,178
  6. Step 6: Final answer
    x = 836,890.20

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.