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Finding the Third Proportional to 85,573.50 and 133,194

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Solution

The third proportional to 85,573.50 and 133,194 is: 207,314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,573.50 : 133,194 = 133,194 : x
  2. Step 2: Convert to fraction form
    85,573.50/133,194 = 133,194/x
  3. Step 3: Cross multiply
    85,573.50x = 133,194 × 133,194
  4. Step 4: Simplify right side
    85,573.50x = 17,740,641,636
  5. Step 5: Solve for x
    x = 17,740,641,636/85,573.50
  6. Step 6: Final answer
    x = 207,314.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.