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Finding the Third Proportional to 192,590.50 and 423,611

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Solution

The third proportional to 192,590.50 and 423,611 is: 931,750.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,590.50 : 423,611 = 423,611 : x
  2. Step 2: Convert to fraction form
    192,590.50/423,611 = 423,611/x
  3. Step 3: Cross multiply
    192,590.50x = 423,611 × 423,611
  4. Step 4: Simplify right side
    192,590.50x = 179,446,279,321
  5. Step 5: Solve for x
    x = 179,446,279,321/192,590.50
  6. Step 6: Final answer
    x = 931,750.42

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Why These Related Problems?

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