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Finding the Third Proportional to 102,438 and 222,828

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Solution

The third proportional to 102,438 and 222,828 is: 484,706.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,438 : 222,828 = 222,828 : x
  2. Step 2: Convert to fraction form
    102,438/222,828 = 222,828/x
  3. Step 3: Cross multiply
    102,438x = 222,828 × 222,828
  4. Step 4: Simplify right side
    102,438x = 49,652,317,584
  5. Step 5: Solve for x
    x = 49,652,317,584/102,438
  6. Step 6: Final answer
    x = 484,706.04

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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.