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Finding the Third Proportional to 54,057 and 81,733.50

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Solution

The third proportional to 54,057 and 81,733.50 is: 123,580.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,057 : 81,733.50 = 81,733.50 : x
  2. Step 2: Convert to fraction form
    54,057/81,733.50 = 81,733.50/x
  3. Step 3: Cross multiply
    54,057x = 81,733.50 × 81,733.50
  4. Step 4: Simplify right side
    54,057x = 6,680,365,022.25
  5. Step 5: Solve for x
    x = 6,680,365,022.25/54,057
  6. Step 6: Final answer
    x = 123,580.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.