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Finding the Third Proportional to 76,078 and 164,185

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Solution

The third proportional to 76,078 and 164,185 is: 354,329.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,078 : 164,185 = 164,185 : x
  2. Step 2: Convert to fraction form
    76,078/164,185 = 164,185/x
  3. Step 3: Cross multiply
    76,078x = 164,185 × 164,185
  4. Step 4: Simplify right side
    76,078x = 26,956,714,225
  5. Step 5: Solve for x
    x = 26,956,714,225/76,078
  6. Step 6: Final answer
    x = 354,329.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.