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Finding the Third Proportional to 10,054.88 and 22,092.38

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Solution

The third proportional to 10,054.88 and 22,092.38 is: 48,540.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.88 : 22,092.38 = 22,092.38 : x
  2. Step 2: Convert to fraction form
    10,054.88/22,092.38 = 22,092.38/x
  3. Step 3: Cross multiply
    10,054.88x = 22,092.38 × 22,092.38
  4. Step 4: Simplify right side
    10,054.88x = 488,073,033.14
  5. Step 5: Solve for x
    x = 488,073,033.14/10,054.88
  6. Step 6: Final answer
    x = 48,540.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.