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Finding the Third Proportional to 57,111.70 and 123,757.36

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Solution

The third proportional to 57,111.70 and 123,757.36 is: 268,174.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,111.70 : 123,757.36 = 123,757.36 : x
  2. Step 2: Convert to fraction form
    57,111.70/123,757.36 = 123,757.36/x
  3. Step 3: Cross multiply
    57,111.70x = 123,757.36 × 123,757.36
  4. Step 4: Simplify right side
    57,111.70x = 15,315,883,999.47
  5. Step 5: Solve for x
    x = 15,315,883,999.47/57,111.70
  6. Step 6: Final answer
    x = 268,174.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.