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Finding the Third Proportional to 498,138 and 698,994

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Solution

The third proportional to 498,138 and 698,994 is: 980,837.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,138 : 698,994 = 698,994 : x
  2. Step 2: Convert to fraction form
    498,138/698,994 = 698,994/x
  3. Step 3: Cross multiply
    498,138x = 698,994 × 698,994
  4. Step 4: Simplify right side
    498,138x = 488,592,612,036
  5. Step 5: Solve for x
    x = 488,592,612,036/498,138
  6. Step 6: Final answer
    x = 980,837.86

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