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Finding the Third Proportional to 216,596 and 323,098

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Solution

The third proportional to 216,596 and 323,098 is: 481,967.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,596 : 323,098 = 323,098 : x
  2. Step 2: Convert to fraction form
    216,596/323,098 = 323,098/x
  3. Step 3: Cross multiply
    216,596x = 323,098 × 323,098
  4. Step 4: Simplify right side
    216,596x = 104,392,317,604
  5. Step 5: Solve for x
    x = 104,392,317,604/216,596
  6. Step 6: Final answer
    x = 481,967.89

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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.