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Finding the Third Proportional to 104,088 and 222,934.50

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Solution

The third proportional to 104,088 and 222,934.50 is: 477,478.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,088 : 222,934.50 = 222,934.50 : x
  2. Step 2: Convert to fraction form
    104,088/222,934.50 = 222,934.50/x
  3. Step 3: Cross multiply
    104,088x = 222,934.50 × 222,934.50
  4. Step 4: Simplify right side
    104,088x = 49,699,791,290.25
  5. Step 5: Solve for x
    x = 49,699,791,290.25/104,088
  6. Step 6: Final answer
    x = 477,478.59

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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.