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Finding the Third Proportional to 212,384 and 320,214

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Solution

The third proportional to 212,384 and 320,214 is: 482,790.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,384 : 320,214 = 320,214 : x
  2. Step 2: Convert to fraction form
    212,384/320,214 = 320,214/x
  3. Step 3: Cross multiply
    212,384x = 320,214 × 320,214
  4. Step 4: Simplify right side
    212,384x = 102,537,005,796
  5. Step 5: Solve for x
    x = 102,537,005,796/212,384
  6. Step 6: Final answer
    x = 482,790.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.