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Finding the Third Proportional to 101,960 and 223,620

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Solution

The third proportional to 101,960 and 223,620 is: 490,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,960 : 223,620 = 223,620 : x
  2. Step 2: Convert to fraction form
    101,960/223,620 = 223,620/x
  3. Step 3: Cross multiply
    101,960x = 223,620 × 223,620
  4. Step 4: Simplify right side
    101,960x = 50,005,904,400
  5. Step 5: Solve for x
    x = 50,005,904,400/101,960
  6. Step 6: Final answer
    x = 490,446.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.