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Finding the Third Proportional to 101,239 and 221,546

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Solution

The third proportional to 101,239 and 221,546 is: 484,819.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,239 : 221,546 = 221,546 : x
  2. Step 2: Convert to fraction form
    101,239/221,546 = 221,546/x
  3. Step 3: Cross multiply
    101,239x = 221,546 × 221,546
  4. Step 4: Simplify right side
    101,239x = 49,082,630,116
  5. Step 5: Solve for x
    x = 49,082,630,116/101,239
  6. Step 6: Final answer
    x = 484,819.39

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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.