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Finding the Third Proportional to 104,292 and 221,512

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Solution

The third proportional to 104,292 and 221,512 is: 470,482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,292 : 221,512 = 221,512 : x
  2. Step 2: Convert to fraction form
    104,292/221,512 = 221,512/x
  3. Step 3: Cross multiply
    104,292x = 221,512 × 221,512
  4. Step 4: Simplify right side
    104,292x = 49,067,566,144
  5. Step 5: Solve for x
    x = 49,067,566,144/104,292
  6. Step 6: Final answer
    x = 470,482.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.