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Finding the Third Proportional to 353,922 and 494,865

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Solution

The third proportional to 353,922 and 494,865 is: 691,935.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,922 : 494,865 = 494,865 : x
  2. Step 2: Convert to fraction form
    353,922/494,865 = 494,865/x
  3. Step 3: Cross multiply
    353,922x = 494,865 × 494,865
  4. Step 4: Simplify right side
    353,922x = 244,891,368,225
  5. Step 5: Solve for x
    x = 244,891,368,225/353,922
  6. Step 6: Final answer
    x = 691,935.99

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.