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Finding the Third Proportional to 212,992 and 323,376

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Solution

The third proportional to 212,992 and 323,376 is: 490,966.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,992 : 323,376 = 323,376 : x
  2. Step 2: Convert to fraction form
    212,992/323,376 = 323,376/x
  3. Step 3: Cross multiply
    212,992x = 323,376 × 323,376
  4. Step 4: Simplify right side
    212,992x = 104,572,037,376
  5. Step 5: Solve for x
    x = 104,572,037,376/212,992
  6. Step 6: Final answer
    x = 490,966.97

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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.