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Finding the Third Proportional to 31,784 and 69,936

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Solution

The third proportional to 31,784 and 69,936 is: 153,883.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,784 : 69,936 = 69,936 : x
  2. Step 2: Convert to fraction form
    31,784/69,936 = 69,936/x
  3. Step 3: Cross multiply
    31,784x = 69,936 × 69,936
  4. Step 4: Simplify right side
    31,784x = 4,891,044,096
  5. Step 5: Solve for x
    x = 4,891,044,096/31,784
  6. Step 6: Final answer
    x = 153,883.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.