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Finding the Third Proportional to 493,708 and 698,982

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Solution

The third proportional to 493,708 and 698,982 is: 989,604.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,708 : 698,982 = 698,982 : x
  2. Step 2: Convert to fraction form
    493,708/698,982 = 698,982/x
  3. Step 3: Cross multiply
    493,708x = 698,982 × 698,982
  4. Step 4: Simplify right side
    493,708x = 488,575,836,324
  5. Step 5: Solve for x
    x = 488,575,836,324/493,708
  6. Step 6: Final answer
    x = 989,604.86

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.