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Finding the Third Proportional to 216,146 and 323,355

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Solution

The third proportional to 216,146 and 323,355 is: 483,739.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,146 : 323,355 = 323,355 : x
  2. Step 2: Convert to fraction form
    216,146/323,355 = 323,355/x
  3. Step 3: Cross multiply
    216,146x = 323,355 × 323,355
  4. Step 4: Simplify right side
    216,146x = 104,558,456,025
  5. Step 5: Solve for x
    x = 104,558,456,025/216,146
  6. Step 6: Final answer
    x = 483,739.95

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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.