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Finding the Third Proportional to 77,651.79 and 166,365.77

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Solution

The third proportional to 77,651.79 and 166,365.77 is: 356,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,651.79 : 166,365.77 = 166,365.77 : x
  2. Step 2: Convert to fraction form
    77,651.79/166,365.77 = 166,365.77/x
  3. Step 3: Cross multiply
    77,651.79x = 166,365.77 × 166,365.77
  4. Step 4: Simplify right side
    77,651.79x = 27,677,570,571.46
  5. Step 5: Solve for x
    x = 27,677,570,571.46/77,651.79
  6. Step 6: Final answer
    x = 356,431.85

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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.