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Finding the Third Proportional to 57,958.22 and 122,143.31

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Solution

The third proportional to 57,958.22 and 122,143.31 is: 257,409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,958.22 : 122,143.31 = 122,143.31 : x
  2. Step 2: Convert to fraction form
    57,958.22/122,143.31 = 122,143.31/x
  3. Step 3: Cross multiply
    57,958.22x = 122,143.31 × 122,143.31
  4. Step 4: Simplify right side
    57,958.22x = 14,918,988,788.47
  5. Step 5: Solve for x
    x = 14,918,988,788.47/57,958.22
  6. Step 6: Final answer
    x = 257,409.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.