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Finding the Third Proportional to 212,576 and 324,514

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Solution

The third proportional to 212,576 and 324,514 is: 495,396.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,576 : 324,514 = 324,514 : x
  2. Step 2: Convert to fraction form
    212,576/324,514 = 324,514/x
  3. Step 3: Cross multiply
    212,576x = 324,514 × 324,514
  4. Step 4: Simplify right side
    212,576x = 105,309,336,196
  5. Step 5: Solve for x
    x = 105,309,336,196/212,576
  6. Step 6: Final answer
    x = 495,396.17

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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.