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Finding the Third Proportional to 101,788 and 223,656

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Solution

The third proportional to 101,788 and 223,656 is: 491,433.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,788 : 223,656 = 223,656 : x
  2. Step 2: Convert to fraction form
    101,788/223,656 = 223,656/x
  3. Step 3: Cross multiply
    101,788x = 223,656 × 223,656
  4. Step 4: Simplify right side
    101,788x = 50,022,006,336
  5. Step 5: Solve for x
    x = 50,022,006,336/101,788
  6. Step 6: Final answer
    x = 491,433.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.