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Finding the Third Proportional to 211,827 and 324,504

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Solution

The third proportional to 211,827 and 324,504 is: 497,117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,827 : 324,504 = 324,504 : x
  2. Step 2: Convert to fraction form
    211,827/324,504 = 324,504/x
  3. Step 3: Cross multiply
    211,827x = 324,504 × 324,504
  4. Step 4: Simplify right side
    211,827x = 105,302,846,016
  5. Step 5: Solve for x
    x = 105,302,846,016/211,827
  6. Step 6: Final answer
    x = 497,117.20

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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.