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Finding the Third Proportional to 216,170 and 323,391

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Solution

The third proportional to 216,170 and 323,391 is: 483,793.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,170 : 323,391 = 323,391 : x
  2. Step 2: Convert to fraction form
    216,170/323,391 = 323,391/x
  3. Step 3: Cross multiply
    216,170x = 323,391 × 323,391
  4. Step 4: Simplify right side
    216,170x = 104,581,738,881
  5. Step 5: Solve for x
    x = 104,581,738,881/216,170
  6. Step 6: Final answer
    x = 483,793.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.