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Finding the Third Proportional to 74,716 and 115,686

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Solution

The third proportional to 74,716 and 115,686 is: 179,121.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,716 : 115,686 = 115,686 : x
  2. Step 2: Convert to fraction form
    74,716/115,686 = 115,686/x
  3. Step 3: Cross multiply
    74,716x = 115,686 × 115,686
  4. Step 4: Simplify right side
    74,716x = 13,383,250,596
  5. Step 5: Solve for x
    x = 13,383,250,596/74,716
  6. Step 6: Final answer
    x = 179,121.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.