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Finding the Third Proportional to 211,212 and 324,209

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Solution

The third proportional to 211,212 and 324,209 is: 497,658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,212 : 324,209 = 324,209 : x
  2. Step 2: Convert to fraction form
    211,212/324,209 = 324,209/x
  3. Step 3: Cross multiply
    211,212x = 324,209 × 324,209
  4. Step 4: Simplify right side
    211,212x = 105,111,475,681
  5. Step 5: Solve for x
    x = 105,111,475,681/211,212
  6. Step 6: Final answer
    x = 497,658.64

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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.