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Finding the Third Proportional to 313,826 and 690,994

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Solution

The third proportional to 313,826 and 690,994 is: 1,521,456.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,826 : 690,994 = 690,994 : x
  2. Step 2: Convert to fraction form
    313,826/690,994 = 690,994/x
  3. Step 3: Cross multiply
    313,826x = 690,994 × 690,994
  4. Step 4: Simplify right side
    313,826x = 477,472,708,036
  5. Step 5: Solve for x
    x = 477,472,708,036/313,826
  6. Step 6: Final answer
    x = 1,521,456.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.