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Finding the Third Proportional to 75,865 and 109,279

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Solution

The third proportional to 75,865 and 109,279 is: 157,409.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,865 : 109,279 = 109,279 : x
  2. Step 2: Convert to fraction form
    75,865/109,279 = 109,279/x
  3. Step 3: Cross multiply
    75,865x = 109,279 × 109,279
  4. Step 4: Simplify right side
    75,865x = 11,941,899,841
  5. Step 5: Solve for x
    x = 11,941,899,841/75,865
  6. Step 6: Final answer
    x = 157,409.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.