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Finding the Third Proportional to 216,702 and 323,190

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Solution

The third proportional to 216,702 and 323,190 is: 482,006.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,702 : 323,190 = 323,190 : x
  2. Step 2: Convert to fraction form
    216,702/323,190 = 323,190/x
  3. Step 3: Cross multiply
    216,702x = 323,190 × 323,190
  4. Step 4: Simplify right side
    216,702x = 104,451,776,100
  5. Step 5: Solve for x
    x = 104,451,776,100/216,702
  6. Step 6: Final answer
    x = 482,006.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.