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Finding the Third Proportional to 155,824 and 222,828

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Solution

The third proportional to 155,824 and 222,828 is: 318,643.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,824 : 222,828 = 222,828 : x
  2. Step 2: Convert to fraction form
    155,824/222,828 = 222,828/x
  3. Step 3: Cross multiply
    155,824x = 222,828 × 222,828
  4. Step 4: Simplify right side
    155,824x = 49,652,317,584
  5. Step 5: Solve for x
    x = 49,652,317,584/155,824
  6. Step 6: Final answer
    x = 318,643.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.