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Finding the Third Proportional to 213,450 and 320,742

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Solution

The third proportional to 213,450 and 320,742 is: 481,965.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,450 : 320,742 = 320,742 : x
  2. Step 2: Convert to fraction form
    213,450/320,742 = 320,742/x
  3. Step 3: Cross multiply
    213,450x = 320,742 × 320,742
  4. Step 4: Simplify right side
    213,450x = 102,875,430,564
  5. Step 5: Solve for x
    x = 102,875,430,564/213,450
  6. Step 6: Final answer
    x = 481,965.01

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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.