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Finding the Third Proportional to 479,808 and 691,200

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Solution

The third proportional to 479,808 and 691,200 is: 995,726.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,808 : 691,200 = 691,200 : x
  2. Step 2: Convert to fraction form
    479,808/691,200 = 691,200/x
  3. Step 3: Cross multiply
    479,808x = 691,200 × 691,200
  4. Step 4: Simplify right side
    479,808x = 477,757,440,000
  5. Step 5: Solve for x
    x = 477,757,440,000/479,808
  6. Step 6: Final answer
    x = 995,726.29

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.