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Finding the Third Proportional to 215,057 and 485,610

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Solution

The third proportional to 215,057 and 485,610 is: 1,096,532.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,057 : 485,610 = 485,610 : x
  2. Step 2: Convert to fraction form
    215,057/485,610 = 485,610/x
  3. Step 3: Cross multiply
    215,057x = 485,610 × 485,610
  4. Step 4: Simplify right side
    215,057x = 235,817,072,100
  5. Step 5: Solve for x
    x = 235,817,072,100/215,057
  6. Step 6: Final answer
    x = 1,096,532.88

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.