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Finding the Third Proportional to 212,810 and 323,831

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Solution

The third proportional to 212,810 and 323,831 is: 492,770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,810 : 323,831 = 323,831 : x
  2. Step 2: Convert to fraction form
    212,810/323,831 = 323,831/x
  3. Step 3: Cross multiply
    212,810x = 323,831 × 323,831
  4. Step 4: Simplify right side
    212,810x = 104,866,516,561
  5. Step 5: Solve for x
    x = 104,866,516,561/212,810
  6. Step 6: Final answer
    x = 492,770.62

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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.