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Finding the Third Proportional to 76,777.50 and 166,131

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Solution

The third proportional to 76,777.50 and 166,131 is: 359,473.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,777.50 : 166,131 = 166,131 : x
  2. Step 2: Convert to fraction form
    76,777.50/166,131 = 166,131/x
  3. Step 3: Cross multiply
    76,777.50x = 166,131 × 166,131
  4. Step 4: Simplify right side
    76,777.50x = 27,599,509,161
  5. Step 5: Solve for x
    x = 27,599,509,161/76,777.50
  6. Step 6: Final answer
    x = 359,473.92

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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.