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Finding the Third Proportional to 317,992 and 691,200

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Solution

The third proportional to 317,992 and 691,200 is: 1,502,419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,992 : 691,200 = 691,200 : x
  2. Step 2: Convert to fraction form
    317,992/691,200 = 691,200/x
  3. Step 3: Cross multiply
    317,992x = 691,200 × 691,200
  4. Step 4: Simplify right side
    317,992x = 477,757,440,000
  5. Step 5: Solve for x
    x = 477,757,440,000/317,992
  6. Step 6: Final answer
    x = 1,502,419.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.