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Finding the Third Proportional to 57,343 and 134,930

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Solution

The third proportional to 57,343 and 134,930 is: 317,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,343 : 134,930 = 134,930 : x
  2. Step 2: Convert to fraction form
    57,343/134,930 = 134,930/x
  3. Step 3: Cross multiply
    57,343x = 134,930 × 134,930
  4. Step 4: Simplify right side
    57,343x = 18,206,104,900
  5. Step 5: Solve for x
    x = 18,206,104,900/57,343
  6. Step 6: Final answer
    x = 317,494.81

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.