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Finding the Third Proportional to 73,801.50 and 111,576

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Solution

The third proportional to 73,801.50 and 111,576 is: 168,684.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,801.50 : 111,576 = 111,576 : x
  2. Step 2: Convert to fraction form
    73,801.50/111,576 = 111,576/x
  3. Step 3: Cross multiply
    73,801.50x = 111,576 × 111,576
  4. Step 4: Simplify right side
    73,801.50x = 12,449,203,776
  5. Step 5: Solve for x
    x = 12,449,203,776/73,801.50
  6. Step 6: Final answer
    x = 168,684.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.