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Finding the Third Proportional to 494,652 and 698,778

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Solution

The third proportional to 494,652 and 698,778 is: 987,139.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,652 : 698,778 = 698,778 : x
  2. Step 2: Convert to fraction form
    494,652/698,778 = 698,778/x
  3. Step 3: Cross multiply
    494,652x = 698,778 × 698,778
  4. Step 4: Simplify right side
    494,652x = 488,290,693,284
  5. Step 5: Solve for x
    x = 488,290,693,284/494,652
  6. Step 6: Final answer
    x = 987,139.83

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.