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Finding the Third Proportional to 85,311.75 and 133,817.50

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Solution

The third proportional to 85,311.75 and 133,817.50 is: 209,902.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,311.75 : 133,817.50 = 133,817.50 : x
  2. Step 2: Convert to fraction form
    85,311.75/133,817.50 = 133,817.50/x
  3. Step 3: Cross multiply
    85,311.75x = 133,817.50 × 133,817.50
  4. Step 4: Simplify right side
    85,311.75x = 17,907,123,306.25
  5. Step 5: Solve for x
    x = 17,907,123,306.25/85,311.75
  6. Step 6: Final answer
    x = 209,902.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.