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Finding the Third Proportional to 313,829 and 691,000

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Solution

The third proportional to 313,829 and 691,000 is: 1,521,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,829 : 691,000 = 691,000 : x
  2. Step 2: Convert to fraction form
    313,829/691,000 = 691,000/x
  3. Step 3: Cross multiply
    313,829x = 691,000 × 691,000
  4. Step 4: Simplify right side
    313,829x = 477,481,000,000
  5. Step 5: Solve for x
    x = 477,481,000,000/313,829
  6. Step 6: Final answer
    x = 1,521,468.70

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