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Finding the Third Proportional to 212,812 and 323,834

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Solution

The third proportional to 212,812 and 323,834 is: 492,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,812 : 323,834 = 323,834 : x
  2. Step 2: Convert to fraction form
    212,812/323,834 = 323,834/x
  3. Step 3: Cross multiply
    212,812x = 323,834 × 323,834
  4. Step 4: Simplify right side
    212,812x = 104,868,459,556
  5. Step 5: Solve for x
    x = 104,868,459,556/212,812
  6. Step 6: Final answer
    x = 492,775.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.