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Finding the Third Proportional to 77,190 and 115,972

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Solution

The third proportional to 77,190 and 115,972 is: 174,238.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,190 : 115,972 = 115,972 : x
  2. Step 2: Convert to fraction form
    77,190/115,972 = 115,972/x
  3. Step 3: Cross multiply
    77,190x = 115,972 × 115,972
  4. Step 4: Simplify right side
    77,190x = 13,449,504,784
  5. Step 5: Solve for x
    x = 13,449,504,784/77,190
  6. Step 6: Final answer
    x = 174,238.95

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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.