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Finding the Third Proportional to 77,777.50 and 166,216.75

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Solution

The third proportional to 77,777.50 and 166,216.75 is: 355,218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,777.50 : 166,216.75 = 166,216.75 : x
  2. Step 2: Convert to fraction form
    77,777.50/166,216.75 = 166,216.75/x
  3. Step 3: Cross multiply
    77,777.50x = 166,216.75 × 166,216.75
  4. Step 4: Simplify right side
    77,777.50x = 27,628,007,980.56
  5. Step 5: Solve for x
    x = 27,628,007,980.56/77,777.50
  6. Step 6: Final answer
    x = 355,218.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.