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Finding the Third Proportional to 76,381 and 166,315

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Solution

The third proportional to 76,381 and 166,315 is: 362,140.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,381 : 166,315 = 166,315 : x
  2. Step 2: Convert to fraction form
    76,381/166,315 = 166,315/x
  3. Step 3: Cross multiply
    76,381x = 166,315 × 166,315
  4. Step 4: Simplify right side
    76,381x = 27,660,679,225
  5. Step 5: Solve for x
    x = 27,660,679,225/76,381
  6. Step 6: Final answer
    x = 362,140.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.