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Finding the Third Proportional to 215,226 and 500,145

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Solution

The third proportional to 215,226 and 500,145 is: 1,162,243.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,226 : 500,145 = 500,145 : x
  2. Step 2: Convert to fraction form
    215,226/500,145 = 500,145/x
  3. Step 3: Cross multiply
    215,226x = 500,145 × 500,145
  4. Step 4: Simplify right side
    215,226x = 250,145,021,025
  5. Step 5: Solve for x
    x = 250,145,021,025/215,226
  6. Step 6: Final answer
    x = 1,162,243.51

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.