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Finding the Third Proportional to 213,477.75 and 321,615

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Solution

The third proportional to 213,477.75 and 321,615 is: 484,529.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,477.75 : 321,615 = 321,615 : x
  2. Step 2: Convert to fraction form
    213,477.75/321,615 = 321,615/x
  3. Step 3: Cross multiply
    213,477.75x = 321,615 × 321,615
  4. Step 4: Simplify right side
    213,477.75x = 103,436,208,225
  5. Step 5: Solve for x
    x = 103,436,208,225/213,477.75
  6. Step 6: Final answer
    x = 484,529.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.