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Finding the Third Proportional to 102,693 and 220,665

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Solution

The third proportional to 102,693 and 220,665 is: 474,161.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,693 : 220,665 = 220,665 : x
  2. Step 2: Convert to fraction form
    102,693/220,665 = 220,665/x
  3. Step 3: Cross multiply
    102,693x = 220,665 × 220,665
  4. Step 4: Simplify right side
    102,693x = 48,693,042,225
  5. Step 5: Solve for x
    x = 48,693,042,225/102,693
  6. Step 6: Final answer
    x = 474,161.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.