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Finding the Third Proportional to 213,006 and 320,055

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Solution

The third proportional to 213,006 and 320,055 is: 480,902.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,006 : 320,055 = 320,055 : x
  2. Step 2: Convert to fraction form
    213,006/320,055 = 320,055/x
  3. Step 3: Cross multiply
    213,006x = 320,055 × 320,055
  4. Step 4: Simplify right side
    213,006x = 102,435,203,025
  5. Step 5: Solve for x
    x = 102,435,203,025/213,006
  6. Step 6: Final answer
    x = 480,902.90

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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.