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Finding the Third Proportional to 324,178.88 and 520,868.81

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Solution

The third proportional to 324,178.88 and 520,868.81 is: 836,896.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,178.88 : 520,868.81 = 520,868.81 : x
  2. Step 2: Convert to fraction form
    324,178.88/520,868.81 = 520,868.81/x
  3. Step 3: Cross multiply
    324,178.88x = 520,868.81 × 520,868.81
  4. Step 4: Simplify right side
    324,178.88x = 271,304,319,835.16
  5. Step 5: Solve for x
    x = 271,304,319,835.16/324,178.88
  6. Step 6: Final answer
    x = 836,896.97

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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.