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Finding the Third Proportional to 101,366 and 233,213

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Solution

The third proportional to 101,366 and 233,213 is: 536,553.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,366 : 233,213 = 233,213 : x
  2. Step 2: Convert to fraction form
    101,366/233,213 = 233,213/x
  3. Step 3: Cross multiply
    101,366x = 233,213 × 233,213
  4. Step 4: Simplify right side
    101,366x = 54,388,303,369
  5. Step 5: Solve for x
    x = 54,388,303,369/101,366
  6. Step 6: Final answer
    x = 536,553.71

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.