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Finding the Third Proportional to 94,410.56 and 205,422.33

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Solution

The third proportional to 94,410.56 and 205,422.33 is: 446,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,410.56 : 205,422.33 = 205,422.33 : x
  2. Step 2: Convert to fraction form
    94,410.56/205,422.33 = 205,422.33/x
  3. Step 3: Cross multiply
    94,410.56x = 205,422.33 × 205,422.33
  4. Step 4: Simplify right side
    94,410.56x = 42,198,332,892.30
  5. Step 5: Solve for x
    x = 42,198,332,892.30/94,410.56
  6. Step 6: Final answer
    x = 446,966.23

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.