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Finding the Third Proportional to 192,322 and 418,509

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Solution

The third proportional to 192,322 and 418,509 is: 910,711.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,322 : 418,509 = 418,509 : x
  2. Step 2: Convert to fraction form
    192,322/418,509 = 418,509/x
  3. Step 3: Cross multiply
    192,322x = 418,509 × 418,509
  4. Step 4: Simplify right side
    192,322x = 175,149,783,081
  5. Step 5: Solve for x
    x = 175,149,783,081/192,322
  6. Step 6: Final answer
    x = 910,711.12

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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.