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Finding the Third Proportional to 81,054.50 and 121,257.75

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Solution

The third proportional to 81,054.50 and 121,257.75 is: 181,401.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,054.50 : 121,257.75 = 121,257.75 : x
  2. Step 2: Convert to fraction form
    81,054.50/121,257.75 = 121,257.75/x
  3. Step 3: Cross multiply
    81,054.50x = 121,257.75 × 121,257.75
  4. Step 4: Simplify right side
    81,054.50x = 14,703,441,935.06
  5. Step 5: Solve for x
    x = 14,703,441,935.06/81,054.50
  6. Step 6: Final answer
    x = 181,401.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.