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Finding the Third Proportional to 104,083.50 and 222,924

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Solution

The third proportional to 104,083.50 and 222,924 is: 477,454.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,083.50 : 222,924 = 222,924 : x
  2. Step 2: Convert to fraction form
    104,083.50/222,924 = 222,924/x
  3. Step 3: Cross multiply
    104,083.50x = 222,924 × 222,924
  4. Step 4: Simplify right side
    104,083.50x = 49,695,109,776
  5. Step 5: Solve for x
    x = 49,695,109,776/104,083.50
  6. Step 6: Final answer
    x = 477,454.25

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.