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Finding the Third Proportional to 210,405 and 325,949

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Solution

The third proportional to 210,405 and 325,949 is: 504,944.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,405 : 325,949 = 325,949 : x
  2. Step 2: Convert to fraction form
    210,405/325,949 = 325,949/x
  3. Step 3: Cross multiply
    210,405x = 325,949 × 325,949
  4. Step 4: Simplify right side
    210,405x = 106,242,750,601
  5. Step 5: Solve for x
    x = 106,242,750,601/210,405
  6. Step 6: Final answer
    x = 504,944.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.