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Finding the Third Proportional to 211,216 and 324,215

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Solution

The third proportional to 211,216 and 324,215 is: 497,667.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,216 : 324,215 = 324,215 : x
  2. Step 2: Convert to fraction form
    211,216/324,215 = 324,215/x
  3. Step 3: Cross multiply
    211,216x = 324,215 × 324,215
  4. Step 4: Simplify right side
    211,216x = 105,115,366,225
  5. Step 5: Solve for x
    x = 105,115,366,225/211,216
  6. Step 6: Final answer
    x = 497,667.63

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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.