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Finding the Third Proportional to 79,282 and 108,718

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Solution

The third proportional to 79,282 and 108,718 is: 149,083.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,282 : 108,718 = 108,718 : x
  2. Step 2: Convert to fraction form
    79,282/108,718 = 108,718/x
  3. Step 3: Cross multiply
    79,282x = 108,718 × 108,718
  4. Step 4: Simplify right side
    79,282x = 11,819,603,524
  5. Step 5: Solve for x
    x = 11,819,603,524/79,282
  6. Step 6: Final answer
    x = 149,083.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.