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Finding the Third Proportional to 57,057 and 123,135.75

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Solution

The third proportional to 57,057 and 123,135.75 is: 265,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,057 : 123,135.75 = 123,135.75 : x
  2. Step 2: Convert to fraction form
    57,057/123,135.75 = 123,135.75/x
  3. Step 3: Cross multiply
    57,057x = 123,135.75 × 123,135.75
  4. Step 4: Simplify right side
    57,057x = 15,162,412,928.06
  5. Step 5: Solve for x
    x = 15,162,412,928.06/57,057
  6. Step 6: Final answer
    x = 265,741.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.