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Finding the Third Proportional to 77,666 and 117,941

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Solution

The third proportional to 77,666 and 117,941 is: 179,101.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,666 : 117,941 = 117,941 : x
  2. Step 2: Convert to fraction form
    77,666/117,941 = 117,941/x
  3. Step 3: Cross multiply
    77,666x = 117,941 × 117,941
  4. Step 4: Simplify right side
    77,666x = 13,910,079,481
  5. Step 5: Solve for x
    x = 13,910,079,481/77,666
  6. Step 6: Final answer
    x = 179,101.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.