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Finding the Third Proportional to 192,330 and 418,522.50

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Solution

The third proportional to 192,330 and 418,522.50 is: 910,731.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,330 : 418,522.50 = 418,522.50 : x
  2. Step 2: Convert to fraction form
    192,330/418,522.50 = 418,522.50/x
  3. Step 3: Cross multiply
    192,330x = 418,522.50 × 418,522.50
  4. Step 4: Simplify right side
    192,330x = 175,161,083,006.25
  5. Step 5: Solve for x
    x = 175,161,083,006.25/192,330
  6. Step 6: Final answer
    x = 910,731.99

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