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Finding the Third Proportional to 103,672 and 222,448

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Solution

The third proportional to 103,672 and 222,448 is: 477,304.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,672 : 222,448 = 222,448 : x
  2. Step 2: Convert to fraction form
    103,672/222,448 = 222,448/x
  3. Step 3: Cross multiply
    103,672x = 222,448 × 222,448
  4. Step 4: Simplify right side
    103,672x = 49,483,112,704
  5. Step 5: Solve for x
    x = 49,483,112,704/103,672
  6. Step 6: Final answer
    x = 477,304.51

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.