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Finding the Third Proportional to 216,165 and 345,327

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Solution

The third proportional to 216,165 and 345,327 is: 551,665.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,165 : 345,327 = 345,327 : x
  2. Step 2: Convert to fraction form
    216,165/345,327 = 345,327/x
  3. Step 3: Cross multiply
    216,165x = 345,327 × 345,327
  4. Step 4: Simplify right side
    216,165x = 119,250,736,929
  5. Step 5: Solve for x
    x = 119,250,736,929/216,165
  6. Step 6: Final answer
    x = 551,665.33

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.