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Finding the Third Proportional to 210,631 and 273,250

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Solution

The third proportional to 210,631 and 273,250 is: 354,485.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,631 : 273,250 = 273,250 : x
  2. Step 2: Convert to fraction form
    210,631/273,250 = 273,250/x
  3. Step 3: Cross multiply
    210,631x = 273,250 × 273,250
  4. Step 4: Simplify right side
    210,631x = 74,665,562,500
  5. Step 5: Solve for x
    x = 74,665,562,500/210,631
  6. Step 6: Final answer
    x = 354,485.15

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.