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Finding the Third Proportional to 192,996 and 425,257.50

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Solution

The third proportional to 192,996 and 425,257.50 is: 937,034.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,996 : 425,257.50 = 425,257.50 : x
  2. Step 2: Convert to fraction form
    192,996/425,257.50 = 425,257.50/x
  3. Step 3: Cross multiply
    192,996x = 425,257.50 × 425,257.50
  4. Step 4: Simplify right side
    192,996x = 180,843,941,306.25
  5. Step 5: Solve for x
    x = 180,843,941,306.25/192,996
  6. Step 6: Final answer
    x = 937,034.66

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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.