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Finding the Third Proportional to 192,579 and 281,737.50

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Solution

The third proportional to 192,579 and 281,737.50 is: 412,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,579 : 281,737.50 = 281,737.50 : x
  2. Step 2: Convert to fraction form
    192,579/281,737.50 = 281,737.50/x
  3. Step 3: Cross multiply
    192,579x = 281,737.50 × 281,737.50
  4. Step 4: Simplify right side
    192,579x = 79,376,018,906.25
  5. Step 5: Solve for x
    x = 79,376,018,906.25/192,579
  6. Step 6: Final answer
    x = 412,173.80

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.