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Finding the Third Proportional to 212,880 and 327,309

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Solution

The third proportional to 212,880 and 327,309 is: 503,246.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,880 : 327,309 = 327,309 : x
  2. Step 2: Convert to fraction form
    212,880/327,309 = 327,309/x
  3. Step 3: Cross multiply
    212,880x = 327,309 × 327,309
  4. Step 4: Simplify right side
    212,880x = 107,131,181,481
  5. Step 5: Solve for x
    x = 107,131,181,481/212,880
  6. Step 6: Final answer
    x = 503,246.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.