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Finding the Third Proportional to 363,898 and 494,391

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Solution

The third proportional to 363,898 and 494,391 is: 671,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,898 : 494,391 = 494,391 : x
  2. Step 2: Convert to fraction form
    363,898/494,391 = 494,391/x
  3. Step 3: Cross multiply
    363,898x = 494,391 × 494,391
  4. Step 4: Simplify right side
    363,898x = 244,422,460,881
  5. Step 5: Solve for x
    x = 244,422,460,881/363,898
  6. Step 6: Final answer
    x = 671,678.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.