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Finding the Third Proportional to 79,227 and 118,857.50

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Solution

The third proportional to 79,227 and 118,857.50 is: 178,311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,227 : 118,857.50 = 118,857.50 : x
  2. Step 2: Convert to fraction form
    79,227/118,857.50 = 118,857.50/x
  3. Step 3: Cross multiply
    79,227x = 118,857.50 × 118,857.50
  4. Step 4: Simplify right side
    79,227x = 14,127,105,306.25
  5. Step 5: Solve for x
    x = 14,127,105,306.25/79,227
  6. Step 6: Final answer
    x = 178,311.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.