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Finding the Third Proportional to 211,210 and 324,206

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Solution

The third proportional to 211,210 and 324,206 is: 497,654.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,210 : 324,206 = 324,206 : x
  2. Step 2: Convert to fraction form
    211,210/324,206 = 324,206/x
  3. Step 3: Cross multiply
    211,210x = 324,206 × 324,206
  4. Step 4: Simplify right side
    211,210x = 105,109,530,436
  5. Step 5: Solve for x
    x = 105,109,530,436/211,210
  6. Step 6: Final answer
    x = 497,654.14

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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.