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Finding the Third Proportional to 102,212 and 222,424

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Solution

The third proportional to 102,212 and 222,424 is: 484,017.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,212 : 222,424 = 222,424 : x
  2. Step 2: Convert to fraction form
    102,212/222,424 = 222,424/x
  3. Step 3: Cross multiply
    102,212x = 222,424 × 222,424
  4. Step 4: Simplify right side
    102,212x = 49,472,435,776
  5. Step 5: Solve for x
    x = 49,472,435,776/102,212
  6. Step 6: Final answer
    x = 484,017.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.