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Finding the Third Proportional to 57,674 and 84,279

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Solution

The third proportional to 57,674 and 84,279 is: 123,156.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,674 : 84,279 = 84,279 : x
  2. Step 2: Convert to fraction form
    57,674/84,279 = 84,279/x
  3. Step 3: Cross multiply
    57,674x = 84,279 × 84,279
  4. Step 4: Simplify right side
    57,674x = 7,102,949,841
  5. Step 5: Solve for x
    x = 7,102,949,841/57,674
  6. Step 6: Final answer
    x = 123,156.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.