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Finding the Third Proportional to 193,687.50 and 421,671

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Solution

The third proportional to 193,687.50 and 421,671 is: 918,006.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,687.50 : 421,671 = 421,671 : x
  2. Step 2: Convert to fraction form
    193,687.50/421,671 = 421,671/x
  3. Step 3: Cross multiply
    193,687.50x = 421,671 × 421,671
  4. Step 4: Simplify right side
    193,687.50x = 177,806,432,241
  5. Step 5: Solve for x
    x = 177,806,432,241/193,687.50
  6. Step 6: Final answer
    x = 918,006.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.