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Finding the Third Proportional to 197,210 and 320,405

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Solution

The third proportional to 197,210 and 320,405 is: 520,558.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,210 : 320,405 = 320,405 : x
  2. Step 2: Convert to fraction form
    197,210/320,405 = 320,405/x
  3. Step 3: Cross multiply
    197,210x = 320,405 × 320,405
  4. Step 4: Simplify right side
    197,210x = 102,659,364,025
  5. Step 5: Solve for x
    x = 102,659,364,025/197,210
  6. Step 6: Final answer
    x = 520,558.61

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.