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Finding the Third Proportional to 77,408 and 115,824

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Solution

The third proportional to 77,408 and 115,824 is: 173,305.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,408 : 115,824 = 115,824 : x
  2. Step 2: Convert to fraction form
    77,408/115,824 = 115,824/x
  3. Step 3: Cross multiply
    77,408x = 115,824 × 115,824
  4. Step 4: Simplify right side
    77,408x = 13,415,198,976
  5. Step 5: Solve for x
    x = 13,415,198,976/77,408
  6. Step 6: Final answer
    x = 173,305.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.