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Finding the Third Proportional to 77,388 and 115,794

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Solution

The third proportional to 77,388 and 115,794 is: 173,260.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,388 : 115,794 = 115,794 : x
  2. Step 2: Convert to fraction form
    77,388/115,794 = 115,794/x
  3. Step 3: Cross multiply
    77,388x = 115,794 × 115,794
  4. Step 4: Simplify right side
    77,388x = 13,408,250,436
  5. Step 5: Solve for x
    x = 13,408,250,436/77,388
  6. Step 6: Final answer
    x = 173,260.07

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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.