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Finding the Third Proportional to 211,576 and 324,078

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Solution

The third proportional to 211,576 and 324,078 is: 496,401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,576 : 324,078 = 324,078 : x
  2. Step 2: Convert to fraction form
    211,576/324,078 = 324,078/x
  3. Step 3: Cross multiply
    211,576x = 324,078 × 324,078
  4. Step 4: Simplify right side
    211,576x = 105,026,550,084
  5. Step 5: Solve for x
    x = 105,026,550,084/211,576
  6. Step 6: Final answer
    x = 496,401.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.