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Finding the Third Proportional to 336,096 and 520,425

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Solution

The third proportional to 336,096 and 520,425 is: 805,847.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,096 : 520,425 = 520,425 : x
  2. Step 2: Convert to fraction form
    336,096/520,425 = 520,425/x
  3. Step 3: Cross multiply
    336,096x = 520,425 × 520,425
  4. Step 4: Simplify right side
    336,096x = 270,842,180,625
  5. Step 5: Solve for x
    x = 270,842,180,625/336,096
  6. Step 6: Final answer
    x = 805,847.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.