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Finding the Third Proportional to 86,170.50 and 188,379

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Solution

The third proportional to 86,170.50 and 188,379 is: 411,818.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,170.50 : 188,379 = 188,379 : x
  2. Step 2: Convert to fraction form
    86,170.50/188,379 = 188,379/x
  3. Step 3: Cross multiply
    86,170.50x = 188,379 × 188,379
  4. Step 4: Simplify right side
    86,170.50x = 35,486,647,641
  5. Step 5: Solve for x
    x = 35,486,647,641/86,170.50
  6. Step 6: Final answer
    x = 411,818.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.