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Finding the Third Proportional to 81,686 and 118,977

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Solution

The third proportional to 81,686 and 118,977 is: 173,291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,686 : 118,977 = 118,977 : x
  2. Step 2: Convert to fraction form
    81,686/118,977 = 118,977/x
  3. Step 3: Cross multiply
    81,686x = 118,977 × 118,977
  4. Step 4: Simplify right side
    81,686x = 14,155,526,529
  5. Step 5: Solve for x
    x = 14,155,526,529/81,686
  6. Step 6: Final answer
    x = 173,291.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.