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Finding the Third Proportional to 79,278 and 107,982

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Solution

The third proportional to 79,278 and 107,982 is: 147,078.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,278 : 107,982 = 107,982 : x
  2. Step 2: Convert to fraction form
    79,278/107,982 = 107,982/x
  3. Step 3: Cross multiply
    79,278x = 107,982 × 107,982
  4. Step 4: Simplify right side
    79,278x = 11,660,112,324
  5. Step 5: Solve for x
    x = 11,660,112,324/79,278
  6. Step 6: Final answer
    x = 147,078.79

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.