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Finding the Third Proportional to 75,859 and 109,267

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Solution

The third proportional to 75,859 and 109,267 is: 157,387.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,859 : 109,267 = 109,267 : x
  2. Step 2: Convert to fraction form
    75,859/109,267 = 109,267/x
  3. Step 3: Cross multiply
    75,859x = 109,267 × 109,267
  4. Step 4: Simplify right side
    75,859x = 11,939,277,289
  5. Step 5: Solve for x
    x = 11,939,277,289/75,859
  6. Step 6: Final answer
    x = 157,387.75

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