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Finding the Third Proportional to 101,863 and 221,437

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Solution

The third proportional to 101,863 and 221,437 is: 481,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,863 : 221,437 = 221,437 : x
  2. Step 2: Convert to fraction form
    101,863/221,437 = 221,437/x
  3. Step 3: Cross multiply
    101,863x = 221,437 × 221,437
  4. Step 4: Simplify right side
    101,863x = 49,034,344,969
  5. Step 5: Solve for x
    x = 49,034,344,969/101,863
  6. Step 6: Final answer
    x = 481,375.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.